Question
Determine whether a linear , quadratic or exponential function is the best model for the data in each table .
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JTe7wIDAnE4+YhtvSvyI+5VG/OVVhgV7Etf/x1i9MeEQT6BxHg7Y3vpSVsGFyeUhY6qU9+mNiQrfZQ+i67yNWHUru/r3in3zsR8vtchPy+JkJ+6oxn6mNGIf43cT0ykzE/uJBX+b0KstTKUqT1dJZeeMD94DD8vPykkZ20b8ARjq/qQtsc5mST99PWRtuqGnV6r2DtFU9cfQOUj7uJ7+1NjZDf5/Ku/IYwrLw+LsqONzc6ZQYxQMjvvQj5qTGe3tIozScA35tbOTS9Dg1zyC+OTJWftks7Go4/zlG3xwSEyqM5L7y8vAl65s6to7OZWTM3RXRVolToYlO5D3223eXsA/mBdU+8hfyUEfL7XFTyC77NmbV/MqCoIvU1VgpbFIX68vvKU9ySF9AL+Skj5KfGePn4S4UVjPuReazqlp1Syveqpcosd+OxDNzmzQ0PX4IDPFOXsHhKhRoWxOOrOzkwuAaN8qpedS9Fv0Qrmi64yOFbvspHkeRX2qf1OzUtQn6fy78jv7PrBzGklEL1daiOKIoPoN/q02Lk906E/NQYTx8/vH0DuXtsLX+NqEunn2pRu04d6jT4iV4zt7HpShj3H/sR4K16Uak0TfbyDcHn3mXu/D2Gyb//SB15/zq1aNBtFIPWXub0bS8C/eQFz0J+coT8PhdPqQP2wsffjWsHlrC0zw+0ryvX06/U77WIhXuv4CaJT95HXEcW8lNv5Gt+0lT2wZ0rXD2xg4N7d7Jr925279nH8Uu3ufXQL1V4/0xhJaF5SlNgjwd43D3HhRP72C3vv3snuw+f4viVe7g+eKwc9YnFzqkR8vt8PKVO0tPrEffvXObysb0cUtbTIfYcvcSl2/d5JNeSvE8ax2pahPzUGvlVVNKoztsX38AwgkPDCAtLTXCAL35eqSO+915U6iEdoxwBSv+og//dPyxY+ln1iJuHeBTpnwj5pSMe8gjQHz+pnkKU9RQi1ZM//tKIT1NfWZ9WhPzUHklwXj74+AUREBREkCoBftK2tOQnC1MeMcrFGvDv/kEBfspXjCvl997+mh0hv3REkp+yA5bqKVBZT4FSPUk/e4sR37sR8hPJUhHyE1FXhPxEslSE/ETUFSE/kSwVIT8RdUXITyRLRchPRF0R8hPJUhHyE1FX/pP8FixYQGRkpLIYvb29RUQyPKGhocoMHDhQKb+5c+eKGhT5psg1I9eO7LF0y2/cuHG4uLiwcuVKkpKSePHiBU+fPhURyfBER0crM2LECPLkycOyZctEDYp8U+SakWtH9pjsM9lrH/KR/CZMmKDsdadPn64cOrq7u3Pnzh0RkQzPo0ePlPntt9/ImTMnU6ZMETUo8k2Ra0auHdljss9kr33IR/KbMWMGVlZW1K5dm379+tG7d2969OghIpLhkaUnp2zZspibm1OrVi1RgyLfFLlm5NqRPSb7TPbah3wkP/kCoaGhIdmyZVNOPeT5smxOEZGMjlxrciwtLdHV1cXW1lbUoMg3Ra4ZuXZkjxkZGSm99iGfHPnVrVuX7t27Ky3as2dPEZEMz9te++3IT+61RQ2KfEvkmpFrR/aYtbV1+kZ+8oVB2ZjLly9X3jH553lUEZFMypAhQ5Q996JFi0QNinxz5NqRPSb7LF03PEaNGkWhQoU4duyYaotAkLnIS1wKFizIgQMHVFsEgm9D9pjsM9lrH/KR/EaPHk2BAgXYu3evaotAkLlMnTqV/Pnzs337dtUWgeDbkD0m+0z22od8JL8xY8YoC2/Hjh2qLQJB5jJp0iTy5cvH5s2bVVsEgm9D9pjsM9lrHyLkJ/h/h5CfQF0I+QmyFEJ+AnUh5CfIUgj5CdSFkJ8gSyHkJ1AXQn6CLIWQn0BdCPkJshRCfgJ1IeQnyFII+QnUhZCfIEsh5CdQF0J+giyFkJ9AXQj5CbIUQn4CdSHkl9HEPud1oBcB99257+aGq5x79/Dw8CE0/BWxKar9BOlCc+SXBAkveB7qh+eD+7i738PNzRVX13fjJm2T84D7D0IIexlHvOroTyKdMzrIkwB3V+7duc3t23LucMdd+h3+IQS+SCQ6UbXvd46QX4byimjXvZybPoCp7dvSsWVLWshp3ZrevUeybN0ZXENBQ2pNLWiO/F5DxEVOrp7IgPbtaNu2Na1ataClXD8tWio//00vOvfawNZbwTxRHZ02scR7HOHKnAFMb9+Cdr804eefpTT5hV86daTDzOXMOR+Oa6Rq9+8cIb8MIiX+BS8893Fyclv+LGKBi5YCPT09jPX1MVQoMNPPQeV6/Zi05io3Ql7yRj4m9VDBZ9Ac+UkG8lvP4i4VcJbqRUehi76uEQYGBhgaGig/U6OPnm5+7POMZsJhL/xUR39EQiRPHxzmxIwuDCyVmzImltjZ2JPDyUGKDda5zTFt8DNV5l1i86M4jahFIb8M4rXPKc5MaUKvktlx0VWg0NfFzNmZknnzUtjUBAOpoHVNXChRtTejNl3itmS/ONWxgk+jOfJ7Bj4rmdWqIPZSrRgrZFEVV75/rlChgsp3GhYsmJ8CBfLhnKsBFWosYcmZIKSJRBpE88JrP3//1ow2xR1xNsyNg3MNav3UkT69u9Kn5880bORC7gaVyDdiPXOuPiFZA+wn5KduUqSqeePPg50DGVROD0ctc/Ryl6HIrx3pMXYs8yZOZEbvXrSuXgwnGx0UUlEX+3U+cx/E8kzMf7+IRo38fNcxr31xihhko1zFnvQYNIdp06YxffpU5XsNp06dLGUS48asYt6i61z2fCVPlj8ggVhp+nxxSSfamRqR3Tw3Oar+QYuR61i99wJ3bl/hzs197Ng8muFT+9F5+TY23Q0hScjvfYT80kFiLEkPt7JzcHGKWkgjPvNq5O2+hOXHL3Dl3j0879/n0bVrnNk8it9/ySFNZ7TQL9KTJlu88IxKVp1E8Ck0SX4pvmuZ26YQJWwL0KjvNlafe6z6Cs+HPHwo54Ey7vd8eewZxbPXSfJtkvdISQrB+8BoJtdywkVhTK4av/P75msccg3E/+kr4mKjpTwlLMiVu26XOffgMY8jXotpr+rzH4T8vkxKbBhP9/ZlXDVt9HRNMak+lu77Q4n6sCpfX+f0qtZUy2+Cvnkt8vc9wmm/GHHz4wtomvxmt8xPyRylaDb3DsejVE3pJpHkV1c4OqIGPxjrYOnQgJZzpU44DkQ3K+SndhJf3efu3MZ0yK5AR9eFEn9IPXagqvE9XhF8ZSZjG9jhpHDBvuYSVrs946vrW8PQOPm1yEfJnKVpvsCNUx/Pab9AFPF+m1nc0oUCBvY4t1jInEuviFa1ajpCfmolmbjnZzncvzJ1tPUwt23Ir8uucDNBuWrrI6J99rKnex7KaZthV2AY488HkqYnBf+gafKbJ438yjiVosXs2xz/2iUoCb48Pz+W/lXsye5Ui4YL73H+hapNIOSnXmJ4E76bzW1KUEphg2WxQQw/6MVTqSWtaygJwec5P7wAdUy0sXHuzJ/7vXioahOkjabJb4Ekv/KS/FpK8jv2tfJ7fhPvDW1pnt8Wm6Id+eNwOJ6qJoGQn5p5xiufVSz8oQBO2i5YNFzCvMvhn1x1nxh2k9uzKtDUSYG5c0Par3fnmljv8lk0TX4LWxagrFNxGk+/wM6QJGJjY4mXEpOY+MXrw8kBx7k+pRI17XPiWHEkU8974hryGNfzZzl24AD79+1n/4EjHDp6hSt3/Ql6kZDmDOV7RchPrQQRdXsm42rkxFC/GObtt7Dm7ktV28ekPHPHe00T2hdSYJSjHI3m3eSkhqyu/1Y0SX7II79WhSiSPR8Vhm5i1iUvXO/e5b7rHW499sQzKuqzsor12MmxQS5UsMhP7orjmbR7J9u2zmXEr79Sr2pVKlaoSMVK1ahctT0d+q9gnSRH74RkjbkZIuSnVvx4fmkiQ6o5oDAqhVmPnWxy+8zl5ahHBG/uQJdSCvQdilBr2lUOp71KVaBCc+SnWuT8S17sFPqYVW1BnT9GM6B/f4YM6E/f0WMYu3Q5W/ad4ML1APwiPry0ksSLuxvY1iU7ZU1yYOfSjF+6taTDrz9TqVhlnPJIQiyQi5wOJpgojLBxqkvDgYuYddGHe881Y82BkJ9aeUd+xt8mv0NCfp9Fo+Qnj/zal8JRoUBhZou5kzM5cuQglxQn5zy4FC1G6fI/06zrSpYfekrYK9WhSuIIv7qMFU2tKWlohIGxPXaO2ShUsQE1fh1G2xHjGDFzOEN+r8+PRQxw1DfHIn91CvffyoIrmjH9EPJTK/48vzKZYdUdpZFfScy6/c0G18+sT3j+kMBNv9K5hAIDx2LUmXGNI2GqNkGaaI78JJOFn+bwomH0aPwjjRrUpX6dWtSuXTs1VcpQLIcV2goDFJYN+bHPenbefs7TfwZtbwi5OJ8F9W0oomeInll+cpSoQ+O+k5j89yX2uz3CPeged69sYvus5nQqlw17XWMUBQfRcfVjedL93S90FvJTK0J+GY3myE+yWPwzwv0e4Xb9GlcvXeDiubOcO3dOmbP7N7CofysqmZujUFhim78m7Zdc5oRUP6nX7GT5zWZ+XRvyazliXXgAHeYfY5frYzzDX/EsLoG4lDhio8Ok33GcAxMb0SybDrr6P1JvxGluSOb74uuxsjhCfmolddo7+O20t2f6pr1dldPewtSUp70hqjZBmmiO/L7Ea0Ku/M2yzjUp66iNQsuAXM0XMulMJM+V9osj9OJM5ta2xVlRCOeaG1noIS97TotEwo4MZVIZXewV+SnebhUbw1J4/p3f+hXyUyvSyO/yJIa+veHRfQcb3T438ntE0F/t6FJSHvkVpfb0axwWI7/PIuT3Lymv/Ag5OIrRP9tLoz89dJx70maxK17KqW8SYcqRny25JaHlr7eOdcHJylenpUXUuUksaqBFbh1D7BuMYsLVZAK+82VXQn5qJYQXrnOYWDM3JnpFMG+7gRW3nn966cCz+3iv+ZF2BRQY56jITwtvc1o83/ZZhPzeRZqYhm1mx8AyWOiaojBsRr1x53BVzVcjry9hZRMrCmjbkbfWLJY9jiIitekjnp+fxormClyMFJhV/50Bh5PwjFE1fqcI+amV57z2X8fSH6VphlZuLOvMY+b5UD5VQ4mh17kxrQw/2SmwcP6ZLn89UD4KJ/g0Qn7vIhXLq4McGluLfHpm0mxDkt/4s9xVyS/afTO7uttS2lAfx0pDmHI1QpqbpE3k2Sksa6ogj6FUizX7MfhYEl6xqsbvFCE/tRJLTMQ+trUvSVmFLVaFxjH2mP8nrrMk8cbvEHs7u1DeUBdb5+4MOuKNh6pVkDZCfu8izW8TznBiWiNK65tLI79fqDv+DHdU09VE70OcGZGXalYKrEp3ZNCxZ3ikeQs3mfAT45lfW0FOHS3sGoxg/OUkAr7zjljIT62kEBd1gRNDq9BA1xhLm1702XwfL1Xr+zzjyc15zChvj5PCBvsiY5h2NViaOAs+h5Dfu0hDvBeHODCmDsX0pGmvWUsaTL6Aq0p+KcHnuTurGg1yKDAs2JB2GwO5keb9twg8/+7HsCIKbBUWFGg5m6WPJCF+52tdhPzUTNLrR9xf0pTOjgqMjGtQfdIpjqf1hFuCGx7bfqWtoyE6WoWwq7eaTQ+fy6u7BJ9ByO9dooi6PI15TfLjqK2HIu9vtF7+EJ+3I7Zn1wlY1ZSfCmihsC1D6aEX2B+kanuXuGucntmY2lZa6CiKU+n3rRyOSPnuX30l5KdmUuIiiDo6lEl1DTAzssGy2Rwmnn1FRGxK6vciyK+5T0kg8d5advXPTyEzqTCzN6bYiLNcCorTmOcqvxXNkF+KVCZJJCVKdZKYSFJysvTz22GYsohITk4iOlSaZUijvha2BugaWmPVbAFjT7zkxdsiir7Pi32/0bmiNCrUzoFh9RlMPOxLZJJ8frkOpc/4UJJuzmVm2zyYaJmiZd+RXxdc5aEk0O+9FoX81E1SHCk+m9k+sAiF5MeSHGpT6bdVzNx1iUMXXblz5SQ3jixnx9jGtCkiiU9hS7bqY/ntVBBBr94WuOBTaIb8XvL8ySUu7F/K9g1L2XfwEBcuXebGjVvcvHlF+jzOgX1/sWBiTzoVNSCbXGf2tak78xTH/OWrySoSnhDvtozpLXORQ97HtDpVusxkyeajnD9/BbeL5zmzfQVr/qxF9ZxSuyI3zs2WM+dyKJrw2j8hP7UjCSzejVsb+9AtmyHZDcwwyVUOh4Z/0PT3CYz5swNDWxSkbiELrI3N0dVvTNORBzn8OoFYMez7IpohvzACHy5hfr8KtK5VmNYtW/N73z8ZNmwEw4f3Z+jQNjT+qRxOjrZSDeliYFgMu0YzmXU2gGfv3qSQZhjJL25wcvJPtM2pi5G2MaaWRShRpiW9ev3JxN970a1OdYo5WUuzFH3MnJvQddVNLrxO1IgZiJBfhvCSCPd97O/1M51LSwVqIPeqNiis8+KczQQnLflnS8yLNOanbmvZcj7wk+uvBO+jGfKL5InXX6wZXIXmRSwobGePQ3Z7nJxykiNHdulTF4WOXEPSZ6l61Og2i9Eb7nI3PK1VyVGEXljD9gH1aJHXADt5BKjQwtIiG/mspRqUfzZyJmeVNrQftol9j6PkVypoBEJ+GUIKyW+kqcPlLRyc2p5W1fJgYm6OoZklllIsjApgV6Q1LceuZY9bEJFvkpRXcgRfRjPkl0jcCy/uH5zPkt7N+alECeytbLCwsJBiLsUYw2wWGNSoT41pm1h1NYjg53HEpzlcSyFJqsWw6+vZ9Uc9OuW0IJeuEWamZliZmWJp40Shhn34bckpDrpFEREv1a7qyO8dIb+MJDGEZ26H2LtmOmOG9GNAvz/4o98g+vafx9h5+9l704/nql0F6UMz5CeRLAkwzIMHx/ewYdYshg4YQN++fVXpz4BRoxi5cQsb7oXgn56eMzGI8DN/cWTGKKYN6s+f/fpJtdiPgaPGM3/rKc54xynf5KJJCPllKFJVJkTzOiqC8LAQQkOCCQ4JJSQ0kvBIaXu8Jr00XD1ojPxkJAEmvHlNVEQEYaFS3YSEqBJK6JNwwl++5EVCekdqyaTEvCT6WTgRYannCpYinyfyZQwxGliKQn6CLIVGyU+QoQj5CbIUQn4CdSHkJ8hSCPkJ1IWQnyBLIeQnUBdCfoIshZCfQF0I+QmyFEJ+AnUh5CfIUgj5CdTFV8lv9OjRFChQgH379qm2CASZy7Rp00QHLFALssdkn8le+5CP5Ddq1CgKFSrEsWPHVFsEgsxl7ty5FCxYkP3796u2CATfhuwx2Wey1z7kI/mNHz8eZ2dn5s+fz8OHD0VEMj39+vUjV65czJo1K812EZH0RvaY7DPZax/ykfxmzpypfLi6UqVKtGrVSkQk01O0aFFMTU2pUKFCmu0iIumN7DFLS0ul1z7kI/nJUw4jIyMcHByUc2URkcyOjY0Nenp62Nvbp9kuIpLeyB4zNjZWeu1DPpLf1KlTyZ49O+3bt2fGjBkiIpme+vXrKwXYtm3bNNtFRNIb2WOyz2SvfchH8nu71GX79u0kJSWJiGR6Jk6cqFzqsmnTpjTbRUTSG9lj6V7qIt8Vke+0HT16VLVFIMhc5syZo6xBsdxK8F+RPSbXUrru9r4d+e3atUu1RSDIXCZPnqwc+W3dulW1RSD4NmSPpXvk91Z+YoGp4H+FeMJDoC7E422CLIWQn0BdCPkJshRCfgJ1IeQnyFII+QnUhZCfIEsh5CdQF0J+giyFkJ9AXQj5CbIUQn4CdSHkJ8hSCPkJ1IWQnyBLIeQnUBdCfoIshZCfQF0I+QmyFEJ+AnUh5JdpPOVVwEWunzrKsSO3ue0dyQtpa0pqoyCdaI78EiAmGP97Vzhz6BAHDuxj797d7Nmz56Ps3XuUg0fdeBD2imjV0ZBM7DMffC4f4vS+vWke92727j/AwcOHOHz4JJfueuP/OoU41Zm+V4T8MoXX8GQvF1a3pdcPNalRdSSjNrnySGpJSt1BkE40R34vIewwu6b2pFnFCpQvX45yZctQtmzZNPIjtRrOY+kFf4JVRyOpK8L1b/7uV4e2ldI65v2UK1+BChUrUrFCE7pO2Mr+oGSiVGf6XhHyy2jiAwl33cyBBa3oU98IW4UCheInmk46y3WpOTF1L0E60Rz5PQPf1cxtWww7Zc0o0FYYoq+vL0VP+TZrPT1dZbS18pPdeQwTDkkjNtXR8IqQKwtZ3NSO0mba6OjqoSsl9bh/o29ghL6xOXqq36FQ2FOs1QLWBCcTqTrT94qQX4aSRIrbOnaPrU3tkrY4WsjFpSOlGS2nnhPy+wY0TX5z2hQmlyQlO/PilC7bkLp160qpQ506cmpSu3YNqlTqRNPWm9l05QlPVUfDC54+2MrOsU3o1qgKNWrWoWatt8f9m3oNfqBu/QaUzWmHmVJ+pajYfTP7olPk+cp3jZBfBhEf5YPvuY3sGVKXZmXN0XHMj72DPbkMLDDUa0u72Re5Je0n5Pd1aI78pHGX3zrmtStGcVMnqjUczfDZW9m4caOUDWzYIGcd69evZeXy/Wzb8ZB7gTHEqI6GaF5H3MH93Bb2bl7JmnUbWCcl9bh/s+mvtWxZPJbf6xUhu5YxCvM2NJl0kfvSGRJST/TdIuSXIcQSflMq0q6laZTDgmxFS+LSaQSdWtTiFxsTbA1a0nLmRW5Kewr5fR2aJL8U37XMaV2QknZF+GnkEba5RxAeHv5OnigTFhrJ04gY3sQlk6w6Wp51JCW8JvrlU549DePJk3Bl3j8+nKdhD4k4NYVxTXJioG+Louwo+mz1kSbN3//NOCE/tZMkdZme3FrVhy7ZdchlW5oKQ2Yw+uAZtkxqRR97A+wMmtNshpDft6Bx8muRj5I5S9N8wT1O/XsrV41EkHKqDyNqGKNjVpBcPTez0E1W3/ePkJ/aiYeYC5yc2olfHMrRsMNClnsG8ijSg+sLmtE1mz7WukJ+34pGyi+HJL95dzkhr41SNy8e4LG4Oq1za2Pq1IBmy25wNvrf8eP3jJCf2kmQZr13ubNjGbP6L2btET/V8gM/7i/+mXbW+ljoNKe5kN83oWnym90yPyWdStFi9h1OPFc1qY1oXj/YyZqOuSisY4JVyb6MPxVEqKr1e0fIT+2kQPIrXoWHEOgdRvjLJNV1GE9uL/iZ9pL8LIX8vhmNG/kp5VeSX2bd5EiEqkltPMLn4FB6lrLCUFGIXM1WsMH9+Xd/o+MtQn6ZRcJDrs4T8vuvaJr8FrQsQCnHojSYeootfrG8ePGC1y+ieB7z7p3dbyM+dBcnJ1Wkko0OCvum1Jl0mwtPYlWt3z9CfplEiiS/a0J+/xlNkh++a1jcsiBFrXJSos98Ru69zPFjxzh9/CiHL13ikrcPEa+jSUr6tjuzEWcnsriJEbn0tbCsOZTBR2PwjdGcBy6F/DIJIT/1oDnyewbeK5j3iwv2CgU6BSpRtHFbmjZpQvOmP9O4bTvaDxjMhFkr2bDzDrd8pVr6Km9F8mh1V/7IqcBUYUvBzstZFwIvNcd9Qn6ZhZCfetCokV/AX6zsVYMixsaYWGfDxsEJBwcHHKU4ODpg7yT/uQxl609k/PrHPA5PSecIMF4qSGkUOaoBP+jqYKBViwajj3JWGkFKLRqDkF8mIeSnHjRHfm/g+U0u71jClIED6P97b37r0Y0ePXrQXc6vTahfPCeGCi0U2mWp0Eyawp4Jxic9l+wSnxPvu4CFrZzJqbDAsOAw/tzsQ5DUpBmLXFIR8sskhPzUg+bIT9JQUgxvXkQSHhpKSFAgQQH+BAQEKOPndo59c/rTPJ8jhtqGGGUvTIMJR/jbO4kv+S/l+X38/2pPt1J66FkUxLnHdlbfTtC4WhTyyySE/NSD5sjvSyTz6tFp9o9sRsNC+igU2ljXmsTgfYGEJHxu8hvLa++9HOpUivKW2ujnaMYvG125qvY1hP//EfLLJIT81IOQ3zvEh/PmyizmtsuDQssQRfaONJ11FfeYz70lMoSgi1MYV9SObFr22JWZxIyboYRp0I2Otwj5ZRJCfupByO9dpOqJ3Mm+4RXJrmuKwqApdcae5lb0Z+QXd5eHWzvSKJskS50yOLfeyaGANxqzsPldhPwyCSE/9SDk9y6SsqKPcHh8XQrrm6Ewaka9CWe5/eZT8ksmJXA3Z8ZWoYC1Ado5WlJp+k3uPtXMKhTyyySE/NSDkN+7SNWTeJaT03+kjL65cuRXd/znRn6veXZmEkt+yIatJEu7umPpezqCkDcaOOeVEPLLLFIec2thEzrayPJrQctZV7irahKkHyG/d4klJWwHOwZVo5CuMQqrtvw4/Qr30hz5JUtT3gdcXdiSDvbamGjlo2Lfv9gemsIrzXSfkF/m4c+9Zb/QRZKflU5r2sy/xUNViyD9CPm9yxNCDg5mfHUnbHT0UJQYRKcNvgTGpWGzpCjw2caKXsXIp9BFYdqQVvMu4C55UlNnH0J+GUIKKYnxJERH8+blK15Lny+f3+bM1B9pbSm/0qopP086wbnXr3ku5VV0DG8SEklISe8Kfc1FM+Qn1UJ8FFFPg3gSFkzEs0hevpLq6HU00dHyZxSRz8LxubODjd1LUEtPC4VJDnJ0XcvcK7GkOfCL8SbmaD/61bJES5ENvVJjGL7H653v/NA8hPwyhFhiQjzwOXqEszt3sf/IEfbuWcuMX6tQ1VAfY63qlOsym2kH9rPr0AH2nLjMqYfBBMRo3kLTr0Uz5BdJeMB+9qwYzOwJA1myfAU7du3h0KEjHD68V/pcy5LFE+nbqRF1HRUYK/RR5GlJ61XXuB4udb1p9KApz27hu7gyzfIopFFfPly672et2yuNvMv7FiG/DCGCJ5e3srNrR/o2/pmW7drTrPkvVM1lj43yG7IcMStSh4qtWtC0TSuadh7J74tOcDxU6tVVZxCkjWbIL4zA+wuZ3asojUtmp3bV6jRp2oy2bdvz66/NaNOmMsVL2aEwMEDP3BqrXPUp1WUDG28/TfvpjpQYoly3saWzJSX0FOjkb0CbNZ5c0cCFze8i5Kd25G7XB4+doxmZIzsF9KSRnpk5hkYmkvRk8b2NnjRVMcLA1AQDy/IUarSQZe7vfvWgIC00Q34vifQ/yM7JTehawYmittkwl+rH1NQcMzND6VNVQ4aWmDToRNuJ21h7whe/l2nNd6V6THzMox0D6ZJP/u5fGyzqjWHu9SgiPnVTWEMQ8lM7svx88Tg4lfFlilExTx7yKOOijIvLv0ndLsWlLlUbL2HdPSG/L6EZ8ksh6U04QVf+ZsfE/nSvX59i+Qv8Wy95nHEuUYT87bvRbuNJDvm94dNPtCVDwh3ctg2gU/kSUt21ofH4E5wP05yXln4KIT+1I1fhcyI8L3J21XLWLF7MokWLlFmyfDkrVq1ilbR9xbIlLJW2LZazcBPr/7rO3SfRZMgXdH1HaIb8JFJSSIwKIfD2FU78/Tcrly79p44WLVrKsrXrWHfqLCcDouQ3/30GqR6Tggh1O8KuNetZuvIY+26EE5GgSe9vSRshv4xCvnObnEzyO0n5526u9PlRu7xN2Sj4DBojv3dJs1a+plhS95cOFTX2DkJ+giyFRspPkCEI+QmyFEJ+AnUh5CfIUgj5CdSFkJ8gSyHkJ1AXQn6CLIWQn0BdCPkJshRCfgJ1IeQnyFII+QnUxVfJb/To0RQsWJCDBw+qtggEmcvMmTMpUKAAu3fvVm0RCL4N2WOyz2SvfYiQn+D/HUJ+AnXxVfKTpxxOTk4MHz6cAwcOiIhketq3b4+DgwODBw9Os11EJL2RPSb7TPbah3wkvzlz5mBiYqK85lKxYkURkUxPjhw5MDQ0JG/evGm2i4ikN7LHTE1NlV77ECE/kf93EfITUVe+Sn5i2ivyv46Y9oqoK1817RU3PAT/a8QND4G6EHd7BVkKIT+Buvgq+YlFzoL/NWKRs0BdiCc8BFkKIT+BuhDyE2QphPwE6kLIT5ClEPITqAshP0GWQshPoC6E/ARZCiE/gboQ8hNkKYT8BOpCyE+QpRDyE6gLIT9BlkLIT6AuhPwEWQohP4G6EPITZCmE/ATqQsgvo0lJJjE+nrjYWGKViSMuLoHEpBRSVLsI0o9GyU+qnaTEBOLj5Zp5Wz9pJY5YuaaSv1BTKUkkJ8ST8O6xcXEkJCSRooHFKOSXgaQkR+F98wJ716xi3vTpTJs6gxkz5jJ37ha2HbzNvScxxKv2FaQPzZFfLLx8iNvJv1k7by6zZ8u1M5Vp06Z9lOnTFzNv8UnOeT3jueroj3nKi1uHubx2EWtnSOeSjpsq1eSsOYvYvOUYtx5F8Vq1p6Yg5Kd2pC40OYGY2HDu3TnCspH9aVK6PLmcnHB0csDBwYns2atRs+UEZuy7yfUXcbwRQ8B0oznyi4KgHWwY3ITKDo44yXF0Ur5/zsnJEUfHd1OeImUnMfOkNwGqo98j+SUvPfZxamxrBpTJQ2kHB+lc8vkcyeWYl2rVOjBm/nEu+iUQrUG1KOSnbpLjSAy4xNXdUxnY4xeq5MmLgcIKhZEpJtl10VIoUMgxL03lTmPos+c+V8KSVAcLvoTmyC8CfFYwq1UBbJU1o4uhvjXm5uZYWJgrP83NTTEzM8HIoAS5Ck5m6lFfAlVH/0ssz133cHRiS3oWMyG3qv4MTEyw09NDX/lzNopU6UC/mQc54/9K1q5GIOSnbuJf8ObcFJb2KEBOx2yYW+bDPu8PVGjdjl//aEKjHwphbaaPrq4hBvYlseiwkplnw0mUelwxAPwymiO/Z+C7hrm/FiWfwoh8uevxw8896NSpE507d1J+durUno4d29G6xXB++/MQ++9Gvj/tTUkmOfoel+e3o09hM7IZGmDs6Eyu+vVp3q4dfZs14+fiRbA3lQRqbIFTqU4M2vWAO4mq479zhPzUTUw4L3d1ZUJzK8xKVad0u2EMnfUXqw8c5vCF3ezYPoNJ/etRPa+J1OPqocjVll8XX+XRG8mbqlMIPo3myC+SFN91zPu1CCUsnKnTdh7T/zrN8ePHpRzj2DE5Rzh69AgH91/m9NlAfJ/Gv19DMWFE3VrAnBY5yC+P8OxrU7H3ZKZt3cbeI0e4sHcvuxZPZUj7crjYSO06hSk6dB8b/WJVJ/i+EfJTNzFPeXV0BCsnNueX2RuZc9UXv6jXvIqJJSb+DW+i/Yl0W8KsdqWwkwtSOy9V+2/g72B4oTqF4NNolvzWMkea9pZ0KE7TyRfYFxD3zh3efxMTE09cXNJHd3tTQq/gvuRHWhZUoGuYH51Wy5l5OpCo6GhipOPiY2J4E+mJx8lx9GmcHR19O/RqT2PwwWCN6IiF/NRNQjRxHse4dXEPux8G8zBZtf09bnBqchNqmykwUuiSt810ZrnBE3Hp74tomvxmt8hHyZxlaLHQndPS7CD9JBP9YBv7e+WijIkCbcdGVF7oxrmXquZ3eX2av8fVpJyVKYrsnWg+6xa+0ubvvRyF/NRNitT7Jki9arzUKyelfKKAfLm7vBM9nBRYSqO/HC0mM+U6hGrItZb/gsaN/Frmp1SOUjSfc4fjn17HkgZvCLs0n4V1LMmj0MGu0p+MOvcUH1Xr+4Tgvqkbf+TTx1KrOjX6HeB0gnKxzXeNkN//hGAerO9G/9wKbBRG5P11DvOlkV+4GPl9EU2T3/yW+SjnVIqWkvxOfJX8wvE5PJpR+c2kGstDobbL2O4bQ7Sq9X0SeXJkKDMqKXBUuFC6w3q2PUshrUHi94SQ3/8EeeTXgR72CqwUOSnbex2bQ8Q1v/SgafJbKI38yjmV5JeZ1zgQLk8s5GUBKdKk9gukPMZ92+/0ymaFkU5dyg89yoWIOFXjxzw/N4mlP+vgbGBJgeZzWf44maff+fIDIb9MR64od67MbEErE23MFGWpPXgPh99ATOoOgs+gSfJDll+rgpR0KEztiYdY8yiK0NBQwkNDCHr+/DNPc0hqTLjBtWW/0sTKCm3bttSYfYuHLz99XSXu1lK2drehgLku9j+MZPLVJAK/88swQn6ZTqxkuYPs+bMqlRUGaOs2pdm089yUWhJSdxB8Bs2R3zPwWc3cFgXIbWxL7tbD6b5kO2tWr2bDmlUs37aN7ecv4ObpR+jTaF6/N6iTrBVzjnOzm1DdxhKFSxfqLnXH79VnxosP/uLAgLwUsVFgUbMvw04m4vOdX/QT8sts4sOJvTuRGT/bk11hgSLPIHpt9ECa0YhFzulAs+S3glnN82ElL4nKnheH0lUpV7YsFcqVpXTV6tRo2pyOPUcyfu4Jjt2J580/IzXpD2/OcGZmYyrZSvIr0I16Kx4Q+Dn5PdrG4cEFKWqrwKz6bww+loj3dz4VEfLLVJJJeXKF23Mb0Sy/VNCGRbBov455l6UpjiBdaI78oiB4N38Nb0GNPHnI4+KCS9685FXFxTknjrYWGOk44VCkD72nX+Cqbzyxyh5UklzMWc7N+pmqsvzySSO/ZdLI7+XnRn5bODgwv2rk9wdDT4iR33sI+f1Xwnl2YxHTf8iNk64OunZt+WXDTS6Gf+cXV9SI5shPmse+fsyD8/vZunwZSxfMZf6smcyaNYuZcsb2p3v90tgptFEoXChQvQdjdj/GVflqFsmA8ZL8pGlvNVl+eVXT3s/Kb7M07c0npr0qhPzUSgJxT49yYkZTqpsZoWNaktK/rGaj1+cuXAs+RHPkp0JeN5qcTHJSEkmJiSSqkvDMi5vbZzGgehEcTHRQmNhRtu9WVrjHEiffEU46pxz5VVGO/LpSb9l9/D8nv4dbOTgodeRnXuN3hkgjP28hv38R8vsv+PJg2xAGl7PDQmFMtur9GbLdi8fx4krf16Bx8vsM8cG3ubaoG50qmkqjPy2MSw+l1zZfQhISJGle5PzMn6j8zjW/gK+55ndcXPN7DyG/byTlGS9917CsWXGKKRSY2tbhl5lHOBX1/a+iVzdCfu/yUpLWctb2KoyBjjEKi9Y0mnadB/FyVd3kyoLm1LW2RCtnR2ovcsXrxadX0afc38C+frkobKWFde0BjDqbiN+nlwV+Fwj5ZQKJ4Re5OKchzW20MdCypUiH1Sy5ES7fzxN8JUJ+7yLJ7MVeDoysSg49afRn0JQ64y7hliC/luAxd9d2oa2VFXpmv1Bl8kVuR356MVXMjfls6mRKflMDcjaeyOzbSYR8508cCfllMElRPtzbOoIR5bTJZWiLU51uDNgbqrowLfhahPzeRZJZzAmOTmpAcX1zFEbNqDdBkl+ibK1wPHcPoL+jJaaKmpTte4gzkZ8ayiUQemQkM6orcNLOTtE2S1gbkCwvs/6uEfLLUCIJODKTOQ0LUVxXgU2pdvy64hJnw+THzgXfgpDfuyRC/GmOT21IaVl+hr9Qb/wFXOU34xJL0MkJTCppSXZFCYq13Mye8LS+M0be1x+3lV3plV0LC0UxKvXcyt7XKd/9d3oI+WUUCS+IfPA3m3uVp76lPvZ5i9Bo2lH2hypXYQm+ESG/d3lDvNcaNvQsi4uOIQr7TjSZe5fHqpVTkTeWsqapPfl17HGqOoWZ917KL8f/mJjDHBhajSoKfRT6jWkw+hTX5dUyqubvFSG/DCLa5wTHxtSnRW4D7LPnpPLAuaxxfy1eXvAfEfJ7h2QvHq7tTL9iVpjpGqJbbRy/7wzjqap3jfc+wJmhJahiq4t+vlY0/8uLO69S2/7lJYm3JzKziQ1WCjMU+frTcfVDnkot33snLeSnbpKTiHt2j1sb+9KvpBZ22uaYVWxK1/WnOef7hCehIYQEBxMsJyiQoKAg/EOfEh4VTWKSGBN+Cc2QXywxr/3wfXAF11tXePDIA/+AQEJCpNoJCZRqx4tHD+9yfv98pv2Yg+Ly428WhSk6aAfr3BL/HbFFuuKzrR0di+iia+iM068Lmbr/EXe9Q/EPDOGJ/318r23jyLhaNM4tv8a+EHYd1zLrsmbcihPyUzexLwg5OYHF7fJQ0EQqKOPi2P7Qh55Tl7Fy/XrWr17ByhUrWCFn2VKWLVvGvA172XnxEc9eiYUvX0Iz5PeUEK+NrJ3UggFdmjB85GjmL1zC6tVrWbNmKatWjWfIkE78UL0kRS0U6CpsUJT6g3477uP57kv4EsJ57bmI2Y3ykFehhZZdKYo1H0aHSeuZu3Q1W+b0Y0bvyvxUxAxrLRO0bNvTfuMtLkdqxhNHQn5qJumlD7dnVaeToyQ+uUfWK4BR0QZUrFqTutWrUKVKZSpXVqVSBSpVqkRJSY7tZxzlTvBHcxLBB2iG/J4Q9GAp83oVoVFBU8oUKkL5chWpVq0m1atXkD6dsXWQH2uT6ss+L86VuvDzqMMcec98MvEkJ9zg3NQe/FHIEWczaX8TJxR5a1OiQjV+KG5NESsFOgbWZMvfmB86bmLX4+cac2lGyE/NJETd5uzIcjSVR31ycSqMUBjZYGJshImBHnp670R+vldXF4VNHYr12MZhrxfizS5fQDPkF8OrsEucXv4bwxqVoryjE6b6hujrG0jRkSLVlbaUHPnI1XUMQzdd5Kx7BM9S32rwAS+JvHOQc9O78VvdHFgay9I0lKa4+hhLo0GFwg6zwk1pO2EDu68G8SROcy69CPmpmYTXD7i1ZjATmtXmh9q1qV2rBrVqVKN6tWpSj/2JNOjHr1NOcS4oWsjvC2jMDY/41zx/eJYzK2cxunNnfqhV+52aqU6NHxvRYMQ4hh+9y/UvDdWSnhHrcZgTK4fxe7tG1KxeVXmeqtV+omajwXSbsJk97kGfeMX994uQn5pJTnxBpI8r7pfOcv7sWc6eOcWZk8c5cUL+vtUPc0L5eeL0TS66h/Hk3xeyCT6BxshPIiXmBc/9vbl//bpUQ6feqZmTnDp/gQsPPHjwPDZ9a0YTInkeeB/Xa+f/qcdjJy5I53HnlkcoT+M172abkJ8gS6FJ8hNkLEJ+giyFkJ9AXQj5CbIUQn4CdSHkJ8hSCPkJ1IWQnyBLIeQnUBdCfoIshZCfQF0I+QmyFEJ+AnXxTfLbtWuXaotAkLlMnjxZKb+tW7eqtggE34bssXTLb9SoURQsWJCjR4+qtggEmcucOXOUNbhv3z7VFoHg25A9JteS7LUP+eTIb/v27STJX6UnIpLJmThxonLkt2nTpjTbRUTSG9lj6R75TZ06lezZs9O+fXtmzJghIpLpqV+/PjY2NrRt2zbNdhGR9Eb2mOwz2Wsf8pH85s6di5GREQ4ODhQoUEBEJNMji09+I469vX2a7SIi6Y3sMWNjY6XXPuQj+c2cORMLCwvlO+hatWolIpLpKVq0KKamplSoUCHNdhGR9Eb2mKWlpdJrH/KR/MaPH4+zszPz58/n4cOHIiKZnn79+pErVy5mzZqVZruISHoje0z2mey1D/lIfvJdkUKFCnHs2DHVFoEgc5GnKPIduv3796u2CATfhuwx2Wfputs7evRo5VxZLDMQ/K+YNm2a8g6dWGgv+K/IHpN9JnvtQz6S39ulLqLwBP8rxBMeAnUhHm8TZCmE/ATqQshPkKUQ8hOoCyE/QZZCyE+gLoT8BFkKIT+BuhDyE2QphPwE6kLIT5ClEPITqAshP0GWQshPoC6E/ARZCiE/gboQ8hNkKYT8BOpCyE+QpRDyE6gLIb8MJZnYV1GEBwXi5+2Nt5c3Pj5++PmFEhbxmuhE1W6CdKOR8kuJ53VkBKH+/vgo68gHH19/AgKfEvEiljjVbh+TRErCK148DSXQ3w9fX+lY+fg0E4BfYCRRsYloSlkK+WUgsTHB3Dqyi8WjR/Jbt2507dyNbt370LvPVGYsP85Z7+e8UO0rSB+aKL/I0Puc3LSayf37071LV7p26U6PHn/Sf/Bilu++heuzOBJU+77PCxJCz3JkxRSG/dabnj2l+uvWhS7SOeR07fpOug1n4Oi9HPGO5Lnq6O8dIT+1kwKJ0byIeMTJQ6sZ06kV5RxcMDI2wdjcEAN9PRQKFwpU7cOAVUfYFyCNDOOkYwTpQnPklwRxUQT5XePvNVPpWbcuLpb26JsaY2ymj66OEdpG5ajadgLTD97iUlQcbz4asoUS82AJU5qXIqe2LoZ6RhgbmWJiYvJOjJWfRkalyF92BguvhRCmOvp7R8hP7cRDxFWubx9Nmx8rUcDaHm2FFIecOBWxxtxMIclPip4zBX/oTuNl5zngFaM6VvAlNEZ+SdL4y3s/2+b0oE6FIthrZ0eh44Rx3hzkzG8i1VRqHenZl6Rcx4n02PeY+08/tF8wb1xnMby2I+bSvoaK7Nhlz6d8gaezc25y55aTQ/lyWPvsP1Cp3irW3Zam0qqjv3eE/NRN0kuSXBeycUAZbBwcscpZluLVO9N80DCGTf+Dnj3qUKpgNqyMdVEYO6NoMJcxh0M+c91G8C4aI79oT+KP9Wdgs7zoZcuJXZ7aVGryO13GD2P4xK60blGOPPZmGOtqo7CvjkPPvey6//KD63WhvLk3n7ENXcinY0eFKr3o2nei9O94tJRRypd4jho1jJEjRzCw/zJmLrjBtYBo3qiO/t4R8lM3sRG8OTaA+b2LkePH9vw4djkrdp/hxM3b3H54lUsXt7JtfgdalbWWem4DFNY96LTkLj7SocmpZxB8Bo2RX/gNnmxoQrc2ZXBs1Z8ec7ey9ehlzt+7zR33C5w6uZgFQ+tRMbuOVEeO6JWYwexzQR+M2kKJdpvPmAa5KJK9NM2G7WfD2Xu4ut5V5u5dOdL57tzhxnUvHjx6zrPoJHnCrREI+amb2Ge8PjuDbUv68ceWE2zxfcVrVVMqL6XZyHbW/laBPDp6aCnq8tOYo5xLQIz+0oHGyO+JG0F7BjF78XgGHHblwovEDzrHAJ5encaQGjkwVphhZtubgbvv45GivOqsQpKf6zxG13WiqEstOq7x5ZJUfoJUhPzUTWIs8YE38bx/mashUYSoNr+PG5dmN6WxpRYmikJU7buFXZF8IElBWmjOtPcpL70v4vrQlZuRCWnXRtgeNnQqRlGFNmbmP0lyu851qRP9V5Iq+dVxpGi+OnT+K5Qbad8W1kiE/P4nBPNgbRf+cFJgrchOye4rWR8IUapWwafRGPmlg4TIS5wYXIEftBSYWVSh6YILnIlV3idWkSq/UfLIL28tOq3z54roYf9ByO9/QhgeG7ozIKcCG4U1xbsuZ60/GrO+6r8g5Pcv8VHXODu8Eo1l+ZlX4Ke55zn1Gfl1lopMyO9fhPz+F8Tf4cLMxjSx0kLfsBQ1hu3mWLiY9qYHIb+3JJHst5N1XQpSWqGPgXMrem64w934j6e9Y5XX/KrTZtUjTkYkkxgfT0JCPHEpKe9cH9Q8hPwyHUlxnmtY2qUAOQwtURT7nR4b3AmWemxxOebLCPmpSPHn1Ynh9KpqhaVuXox/ms/i86FESuZ794bHG0l+k+rlpHDOMtSbeZTVtwPwfPiAx48e4h4YSHCc5t5mE/LLKFISITGGpPhY4uTEPedNpB9B9w5ydeGvtCxljXaOSuQZuIO1rq9UBwm+hMbJL1nqEhNiSIiPIy7hDXExT3n5xBPPiyv5e3B1iuaywqRYa6ouucGVYGnY9x4hxNydxbga9tjpWeH4c29ajJjO+NGjGD9mNCNmzWbelm0cOXuDuw8jCNewMhTyyyjio0gJv0/QY1fcHtzhnttRbh6az/KRLfmlfA7sLZ2wavwnf5x+zH0x3003Gie/N6HEBrvh/cgNt4c3uXdrF+e2TGRi95pUzZ8NQ/viFO27gDneLwn/0H2y/NzmMK5ebizlJ0KsHLDOnR8XZ2fySMldsBBFyleket3OdB+2hx2XonmtQQNBIb+MIsqDyHML2DRnGENHDmTo0Hb0a12ayjnlZ3ulQjQtQ7mRf7HjebL8QJwgnWic/ILP47lvMnMnDmXIyH4M7d+Ebj/kxcVEfrxNC52CzWmz4RI3Vbu/zzPi/PawaUx3mtWoQfUqlahcsQIVK1ZUpkLJQuSxMZXOY4GJc0c6jjvEWa8YXmrIanshv4wi9DKP17Shez0Xcimfn7TByVoHfdUzmbq5a9F42kH2BYF4sjf9aJr8Uh78xYkJNaldOhc5czuRy8mc7KapNaRQ6GJbtTu/bXHjllREH9+8iCc5Ohg/9xtcPHWSE0cOceTgAQ4cPKjM3vVzGN22FvkUcofsQO5KbRi4/TE3NGTNlZBfRvH0Lp47pBFfh1pUrVpNSnWqVa9KzRolqFQiG0VLlqNqm7EMW3SaU4+eEiVVroZ0uP8JjZOf1wHOLWxP28ZyDUmpJtVRjcrUqlaIckUdKFqhEQ37LmLu1rvcDfvK53Ljw3hwYAmTfiyBs5UkUxN7ivXZwYo7L4nRgNvAQn4ZRWwkL/1vcuviMY4eOcrRo8c5evwAJ4/OY+ucX+haOz8uToUpWLI1vRcd5/wLNOaB8v+Cxk17XwUR9ugi509JNaSqo2MndnBy3ziWDqvFj0VdcHQpTfm6g5l86BEPpB70azrR+Cd3ebyuF12qyNNfEwxLj+ZPafQXogE9sZBfpuNHtNcmdoxuxA+5jdBRmJOnyWTGXX9BqHiv3xfROPmlibyM+Q5BF6Yzv21pithIoza9IlQavotNAbEkfJW4pDmu5xIWdsyLoVSLimxdaLvwBl5Cfu8j5KcOpMJNDOXJlYWs6VoYO0NtdPN1oM4Kd9wjNOUF4t+OkN9bYkiOcsN35wAG1bFEoWWNab3J9D8awuuvWjAaDeFbWd+nFHYKCxS2nWktyc9TyO99hPzUyOsLPFjciGJO+iiMapGn32HO+IlbH19CyO9dpM7Sfz2bfy+EwkCatubqQZNFbgR91QW7N/ByP9sGVsZFIUlUkl+rRUJ+Qn4Zycsz3FvYIFV+iork6rid/Z4vNfpxo/Qg5Pcu8eC9ik19JPnpGaOwbMsPUy/z4M3XvJFPGvlF7GRT3wo4y/Kz60abJbfEtFf1+Q9Cfl8mMTaSkLu3eHT9HiEvPlNBges4Nbwo+W0V0pSlMk6ddnDA65WQ3xfQDPkl8eZZEH5Xr/H4ni+Rn5zGPiPlyjDmN7dDoaOHwqY9DaZd5dGbrzFXKM/PjmNS/VxYK8xQFB9G7y0+hIm7ve8j5PclUoiNvMe5WWNZNmA82095ECB1rB8jFdyZ/ixvZoyjkSS/bE0oNOIMFwPF60y/hGbIL45wt2PsGzKApZNWcPReJK/S8ln0dbzX1WdAGUl8OtLIr/hAWq1+yJPY9JsrJugUx4dX42drA3SMHcnWdjUzL0QTq2r/nhHyUyspvHlynl1da9IxT0F+6jiCCQt3s2fPeW7eusuDRw+4dekSp7bOZVmfEjR2kheqWmFTdSRdDvjgE/U10xXNRFPkF3x5FYtq5uOXYtVpO2geC1Yd4tixK7i5u+N+352rJ09yaMlAJv1iSVlDuY4K4tJ1DTOuRhCnvG/2goiQy1w6sp4Du7dy6ux5bt25y7170vHut3F1Pcexo7tYMbkHnQtqSaM+XRTOjWi8+DJng5T/Ed89Qn5qJi7yCseG1KKNvQHZs+ckd74a1KrVhSFDRzN91nSG9O5N67JFKO1gjLW+AdqKejQctJvdz2LFl5inA82QXyJP72xgTdNc1LAyI1uOAuQt0JBmzX5jvPT/P3nKJPq2bk3j/I7kt9HGTDsbptm70mvDDa69TCRFOfALxOPGTKb3Lk+7hhXp0q0nw0eOZsKEydLf4XDGju1Ek6ZVyOdsRzZJnrq6JXFsMo/FV0OJ0pDnLYX81ExSjA+P9k5kTsfKVMxrirGW3Csb4uiUm0JFC+FgbSX9LG0zy0XOCi344dflrDruqzHflfpf0Qz5JRMtjdouL+/OoEbFKWSnrawZPX1LXKT/9wIF8mFtZKDcpiO/2KBOLzoM2sfhx8/l2xcqwvC9tYA5XQvTMJ85BRyljjinM3nz5pf+/pxwdtaXpspSHWoZoluiNtU6zmTkelfuP9ecF6sJ+amZlORYYp7d59G5lSwb2YwmtWyxd9TB2NgIUzNTDM1M0Mon9eS/9Oa3BfvYfTuIoJcJ4tG2dKIZ8pP0F/+Cl2GXuLpzKhN6VqVKGSMsbfUxlr9o3NQEfSsLDEpUoELXcUzYcoFzPlE8j3+3iuKIDr3JlY2jmNS6LtVc8mFhYqb6onIjqR51UFgZo129ATWmbmLN5QD8n8aiSevshfwyisQgAm7uZueG4Ywe05WuXTvTqWMnOvfuSbfpM5i68yRnvKJ4odpdkD40RX6pJJMYdR+3U6tZvbQvAwZ1oVOnTsp06d+P3xYtZ+mxW9x9mvDB9/WqSIjhlc9Nru1Yz/yRo+jZpZvq+M507tyN7gMH0n/tX6x1f0Kw6hBNQsgvw0gmKTaKqGeBBAV54+XliaenJ14+3niHhhIS9Vpc4/sGNEt+MvHEv44g4qkffv5eyhpS1pGfH77hTwl/JY3WVHumRUpCLG+ePyMsIBBvr7fHy59SHfr74/8skoj4FI2ceQj5CbIUmic/QUYh5CfIUgj5CdSFkJ8gSyHkJ1AXQn6CLIWQn0BdCPkJshRCfgJ1IeQnyFII+QnUhZCfIEsh5CdQF18lv9GjR1OgQAH27t2r2iIQZC5Tp05VFuz27dtVWwSCb0P2mOwz2Wsf8pH8Ro0aRaFChTh27Jhqi0CQucydO5eCBQty4MAB1RaB4NuQPSb7TPbah3wkv3HjxpEnTx6WLVtGYGCgiEimZ/DgwTg7O7Nw4cI020VE0hvZY7LPZK99yEfymzFjBlZWVtSuXZuuXeXnVUVEMjdlypTB3NycmjVrptkuIpLeyB6TfSZ77UM+kp885TAyMsLe3p68efOKiGR6rK2t0dPTw87OLs12EZH0RvaY7DPZax/ykfymTZuGra0tzZo1U86TRUQyOzVq1FD21k2aNEmzXUQkvZE9JvtM9tqHfCS/sWPHKo25adMmXr9+LSKS6ZGXJbi4uLBmzZo020VE0hvZY7LPZK99yEfyk20p7vYK/pfMmTNHebd3//79qi0CwbfxVXd75V5XXheze/du1RaBIHOZMmWKcp3ftm3bVFsEgm9D9pjsM/GEhyBLIJ7wEKgL8XibIEsh5CdQF0J+giyFkJ9AXQj5CbIUQn4CdSHkJ8hSCPkJ1IWQnyBLIeQnUBdCfoIshZCfQF0I+QmyFEJ+AnUh5CfIUgj5CdSFkJ8gSyHkJ1AXQn6CLIWQn0BdCPllJskviA97yKOrFzh//jznr97ilm8k4W9U7YIvovHySwomwucaN85f4cp1X/yexxKnavocCTHPCXrkLh13jtMnT3Hy5GnOnLnElWuPeBz8ktcpqh01CCG/zCTqKv47RjGuRUPq169P/Ta96Ln6Oqf9Ve2CL6LZ8ntKovda9s1pRfv6LWnZcQ0bb4VJWz9PEq94fPsEa8aNoOOPjalVsyY1a9amdp2m/NJ6LJPXn+NKWDTRqv01BSG/TCOROLclHOpRgGIKBQo55vnIO+AAG9xVuwi+iMbK75UXftdXsm1KPdpW1EJfYY5x9oGMOuZNgGqXj4h/QXTgHS6dWMPkQZ2pmbsQhgoTFIY66OqralBRgOI/9WfolgscDI4hOlF1rAYg5JdphOG9tQ/jy+hg/lZ+Ji7k+XM/6++pdhF8EY2UX/Izoi/OYmm/SpQvYEY2I7l+rDC0HcDo4958cuIQ6Y7f7iEMbVeGgrmdMFbkxNC+JHlrlKVsFSfMTeTzaKNnnYe8TUfSdvMjPCKTVAd//wj5ZQZJ0cQHH2BL3+r8aGeIs5MdllZGKOxLUGzIITY/UO0n+CKaJb8EYsLu43FoCRv7FKdqMWsU2fLgaGWCjVZOsucZwcTTvgSq9v4Iv2PcmVGeemXM0HMpR/GaPegwdBaT1y1i8crR9O/bkCrFs2Mhd8RWZXHotImd7lG8Vh3+vSPklxm8eEjQ3n70qpSfIk5FadGqHuXLOKCwK06RgQeE/L4CzZJfON4HpzO/aVGqO+piWaEOhdv+QYdqLlTQyY69ywjGnvyM/LwOcXdudVp2/IEKI1cw78gNbjzwwSvEn4AgD9zdNrNlchOqZdOTRoAmmJb8jbFHfHisITc/hPwynBQSfPZw/PdSFLYrSp5qPVg8szedf8wt9eLFKNB/v5DfV6A58ouFVxfZP6g+Pxro4ZSvCjUnrmbqjq2s6lKKBjqW2OcZzqgTn5FfyC38j01j+c6/WOz2NI1rg+FEXpnB0CoOWEmjPxO7KrReeYtzGnLnQ8gvw3lC8MkJTCnlgJljM6oOXMWlLYMY3UQa+dkWJd+fQn5fg+bIL5KUoG0sa12L6jbVaT56K1sfB/Pw4SH2/VacGloW2DkPY/Tn5BcbRcxTLwLCwwiUXJqs2vwvKcR6bmN1axeKS/IztC1EvdlXOBSuav7OEfLLYBKfHOD4hLo0NMqLfd3ZjDlynbBjI5j8o7VSfnmF/L4KzZFfFCmhx9k7dRJj+q7mb7doXsmbnxzm4G9FqKCwIPuX5JcOXvseYm+vglST5GfsUJKGc69zNELV+J0j5JeRJL4m9Gg/JtWxwdmoEfXGXeDy8wBiLo5hVF1LFDZFhPy+Es2RX4I0cgsn1NOLxw9DeSqN3GSSQg6yt7f65PfKZx+7uhWgkiQ/i5z1abfOlSuq3/W9I+SXYUiTjNf3ODuuLA2z6WFdfALDjz7jjTQNTr48moE1LYT8vgHNuuHxMa/997OrVxEqqkV+Sbzw3sbGpvkoptDFJmdn+u1/jKaUo5BfhvGUmIermfVzTlysC1L8t0Ns9pKvugTDhRH8KeT3TQj5qVN+kYS7LmRWxRzkUFiRLd9wJpwP+E8jyayEkF8GkRB5GfdVbWhaMDfZS/Xk991+3JcXUCX6k3JmGH/WEvL7FoT81Ci/GDe89nSjSx4TDLTzYV1jGWvcnvFC1fy9I+SXIcTy9OoCVrbOQ76cVSjeYxu7/WKJlddPxfuRfErI71sR8lOj/Dy2cGRECUpZa6Nl24B8A09w2j9GmgxrBkJ+GUGiJ25r29AqjwKzYt1os84Xn7fPTMb5knhSyO9bEfJTl/yC8dvRnwEVDTGQzmVTaRidj/rh++LjBTHfK0J+aicGfLaxrV9J8thbk6fdUhbcTf73kaEEf5JPD6d/7VT55et/gK2PVG2CLyLkpw75SRPbwB1s7FeZQkb6aGnXpN6gPex5Gc8bzXm0V8hPvaSQIo36fNf/zh8VXTAq15p269x49N6bMp7A5VEMrifJz7YYBQYfZ7d4pVW6EfL77/JLen0Tt8VdaVvUGC2FE3lqT2e6dJ4wVbumIOSnTlJeEh3yN1t/LUNp80JYtV7GvEsRyt40OSWZ5GQpb7yJPz6Mfqq7vS799rHJXW6TxJkinUIDXyr5NQj5/Vf5hRB4aTbTy+cit4EOli4t6bb2FldfJ6bxBMj3jZCfOnnlgd+J/vQtboapojD52q5m4Z7r3L1xmStXLnP5yhWundrDhVndaV3CEoWFC7at5jJs40WuXnfjvk8MT5XL+AWfQsjvv8nvjfdu9gyqrnyiQ8e6OFX7bedvvxiNucP7LkJ+6iTwNDfm1KRuTvk9aY4UKteVjt2GMmhAX/78sx99+/dnUM/u/FG/JqWzmaEwzIZOyRZUbPUbA0bMYN4Of65/8s2UAhkhv2+VnzSziHnEjWVd6ZPfiGxaeuT6ZSzjT73EL161i4Yh5KdOvPZybmg+ilrI8lNgpGOHnU0O7O2zk91Oir09DtbSp6ENJlr6KLSlGGVD19wGh8LVqDPqHFvuiXnv5xDy+0b5xfrhtX8c42s6kU9bG7sqnei+8QZXo+TnPDQTIT91EnCSG7Pr82MpS0zNLbC2tMHGyhprayusrKRYS3+2tMTKxBhDHW0UWjpoGZhhZG6Fdf7yVB55mI3uQn6fQ9PlFxN0kD19ilBJKb/hjD0VQIiq7ZMkvSbs6hpWtclDRXNjshWuRYtFNzgemqSx4pMR8lMnUV4EnV/NuvnjGDVqBMOGDWbw4IEMGjTo3/TvzoBW5SidUxr1SSNAq9JNaNxF2j5uOjP2uXE1RMjvc2i6/Hh2nMP9ilFFkp+dy2gmXQznuaopbRJ47rqHXQN+oImdAvs85ak/YRO7AkjXt759zwj5qZPkBBJjX/HqxXMiI5/x7FkEERFPefr0nQTdImxXX3pWNUdhVZA8PTex/JK0/VkkkdFxxGrQF8h8C5olP3nplFxTscRJiY2L49nj3WztWpjykvyy5R7MsMMeeMWltsUmJJKQnPLvXVupHuNf3OT8rNZ0zm2CjaEuLq0GMeWsNz6vEpX7J8bHEScd+/b8sfHS70vSjPu+Qn6Zzgu4OYHh9S1RZCtOgeHnOKBpC6z+A5ojP3kGIHWknvfwOHac80ePcvzsWfZtnMGoWnkooDDD3K4dLWZuZv3p4xw7dYZj1+5zK+Q5UaknIClCEuOhAYz7wREXhQ4K+7KU/X0GCw6c59yFM5w7dYITJ1Q5foQjJ89y9NoDPEPenuH7Rsgvs0kOhNND6VvNEIVZfnL1PciWx6o2wRfRHPnJV+N88Pp7CWs7dOCPdu3p2KsXbZo2opKVGSYKLRR6JXCu35Ifu3ekQ7dedBi8mOkH7vFQNXCLub+Lg/3sqWEt34AzRZGnAcV/6kbnbt3p2b0LXTt3prMynejc4Vd+7fo77cesZ/N5bxI04OqLkF9mE+NF4uE/6FZKLkh7rLrtZI2bqk3wRTRHfglSrnF+XHu6mJqRw8QUMxsbTAyMlSsJ/om+CXqSDE0ts2Pq1JxGQw9wKi5ZOfV9fmk+y2opcPxn35wY2ebC0cYSa0tzzM3fiZkxxpa5Ma0wiH7r7hCuATNfIb/MJi6AxPOTGN0sP3aFqlNx9DF2iZFfutEc+cmL765yZkoXutjbk1eKvYMD9vZSsttjZ2cnRfpUbpeTC3vH5jTtt49TMal3cSOvr2F923zUzJGNbHYO2DnmxNEpB06ODjjIx8jHvhuHIthXHcWfG9wIEPJ7HyE/NZD4gmT/85z5ezFzlq5nzRlvHj5TtQm+iObIT77zFYDX6R1snzKFmVOnMGXyZKZOncb02bOZPWcOc2bPYOa0qUyT2qdMmc6USRvZuPs+ngmpI783Qbe4vWMpG+ZJ+86ZxZwZU5kxdbK0r7z/h5nK1ClzmbLsOPtuhREppr3vI+SnDqSqSk4gIT6W2Ng44hKkXlqsbkk3miM/Gak24uOIffOGN3Kio1M/Y2KIiZUS84YY5fa3ke/YJv5TTynJiSTGxRIXI22XjomV9n/zJppo6Rg5ynN9mJh44hJT5fm9I+QnyFJolvwEGYmQnyBLIeQnUBdCfoIshZCfQF0I+QmyFEJ+AnUh5CfIUgj5CdSFkJ8gSyHkJ1AXQn6CLIWQn0BdfJX8Ro8eTcGCBTlw4IBqi0CQucyYMYMCBQqwa9cu1RaB4NuQPSb7TPbah3wkv1GjRil3Pnz4sGqLQJC5zJo1Sym/vXv3qrYIBN+G7DHZZ7LXPiRN+VlbWyuHiefOnRMRyfR06NABS0tLhg8fnma7iEh6I3tM9lm65Cdfb5HfDiH3vLVr1xYRyfQ4ODgoa1C+7pdWu4hIeiN7TK4l2Wsf8pH8/v77bypXrkyZMmUoWbKkiEimp2zZslSoUEHUoMh/jlxDVapUUXrtQz6Sn5+fn/Ii4bZt29i0aZOISKZHvkO3b98+tm/fnma7iEh6I3tM9pnstQ/5SH4CgUCgCQj5CQQCjUTITyAQaCDwf9izraMlq/5qAAAAAElFTkSuQmCC)
Hint:
1. When the difference between 2 consecutive output values (y values) for a given constant change in the input values (x values) is constant. i.e. y(n)- y(n-1) is constant for any value of n, the function is known as a linear function.
2. When the difference between 2 consecutive differences for output values (y values) for a given constant change in the input values (x values) is constant. i.e. dy(n)- dy(n-1) is constant for any value of n, the function is known as a quadratic function.
3. When the ratio between 2 consecutive output values (y values) for a given constant change in the input values (x values) is constant i.e. y(n)/y(n-1) is constant for any value of n, the function is known as an exponential function.
The correct answer is: The given function is a quadratic function.
Step-by-step solution:-
From the given table, we observe the following readings-
x1 = 0, y1 = 56;
x2 = 1, y2 = 57;
x3 = 2, y3 = 50;
x4 = 3, y4 = 35;
x5 = 4, y5 = 12
a). Difference between 2 consecutive x values-
dx1 = x2 - x1 = 1 - 0 = 1
dx2 = x3 - x2 = 2 - 1 = 1
dx3 = x4 - x3 = 3 - 2 = 1
dx4 = x5 - x4 = 4 - 3 = 1
Difference between 2 consecutive y values-
dy1 = y2 - y1 = 57 - 56 = 1
dy2 = y3 - y2 = 50 - 57 = -7
dy3 = y4 - y3 = 35 - 50 = -15
dy4 = y5 - y4 = 12 - 35 = -23
We observe that the difference for every consecutive x values is constant i.e. 1 but for y values the difference are not constant.
Hence, the given function is not a linear function.
b). Now, difference between 2 consecutive differences for y values-
dy2 - dy1 = -7 - 3 = -8
dy3 - dy2 = -15 - (-7) = -15 + 7 = -8
dy4 - dy3 = -23 - (-15) = -23 + 15 = -8
We observe that the difference of differences of 2 consecutive y values are constant i.e. -8.
Hence, the given function is a quadratic function.
Final Answer:-
∴ The given function is a quadratic function.
x2 = 1, y2 = 57;
x3 = 2, y3 = 50;
x4 = 3, y4 = 35;
x5 = 4, y5 = 12
a). Difference between 2 consecutive x values-
dx1 = x2 - x1 = 1 - 0 = 1
dx2 = x3 - x2 = 2 - 1 = 1
dx3 = x4 - x3 = 3 - 2 = 1
dx4 = x5 - x4 = 4 - 3 = 1
Difference between 2 consecutive y values-
dy1 = y2 - y1 = 57 - 56 = 1
dy2 = y3 - y2 = 50 - 57 = -7
dy3 = y4 - y3 = 35 - 50 = -15
dy4 = y5 - y4 = 12 - 35 = -23
We observe that the difference for every consecutive x values is constant i.e. 1 but for y values the difference are not constant.
Hence, the given function is not a linear function.
b). Now, difference between 2 consecutive differences for y values-
dy2 - dy1 = -7 - 3 = -8
dy3 - dy2 = -15 - (-7) = -15 + 7 = -8
dy4 - dy3 = -23 - (-15) = -23 + 15 = -8
We observe that the difference of differences of 2 consecutive y values are constant i.e. -8.
Hence, the given function is a quadratic function.
Final Answer:-
∴ The given function is a quadratic function.