Question
Write an ordered pair.
- (X, X)
- (Y, X)
- (X, Y)
- (Y, Y)
Hint:
Ordered pairs are often used to represent two variables.
The correct answer is: (X, Y)
Here, we have to find the ordered pair.
As, we know that an ordered pair is a pair of numbers in a specific order.
We can write ordered pair like (x, y).
Hence, the correct option is (d).
Each point can be identified by an ordered pair of numbers; that is, a number on the x-axis called an x-coordinate, and a number on the y-axis called a y-coordinate.
Related Questions to study
The Y axis is _______?
The x and y axes are also called as abscissa and ordinate respectively. But, as they were not given in the options, we did not consider them and stick to the axes.
The Y axis is _______?
The x and y axes are also called as abscissa and ordinate respectively. But, as they were not given in the options, we did not consider them and stick to the axes.
The X axis is _______?
The x and y axes are also called as abscissa and ordinate respectively. But, as they were not given in the options, we did not consider them and stick to the axes.
The X axis is _______?
The x and y axes are also called as abscissa and ordinate respectively. But, as they were not given in the options, we did not consider them and stick to the axes.
If Justin ordered 5 ice cream bars for $12.25, Each ice cream bar cost is?
The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
If Justin ordered 5 ice cream bars for $12.25, Each ice cream bar cost is?
The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Determine the missing value in the table.
![](data:image/png;base64,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)
When comparing two or more ratios, the constant of proportionality is a fixed number that indicates the rate at which ratios increase or decrease.
Determine the missing value in the table.
![](data:image/png;base64,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)
When comparing two or more ratios, the constant of proportionality is a fixed number that indicates the rate at which ratios increase or decrease.
Write an equation for this relationship.
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)
The ratio of the variables is constant for a direct variation.
Write an equation for this relationship.
![](data:image/png;base64,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)
The ratio of the variables is constant for a direct variation.
Find one of these is an example of a unit rate.
All rate problems can be solved by using the formula, D = R(T), where, D is distance, R is rate and T is time.
Find one of these is an example of a unit rate.
All rate problems can be solved by using the formula, D = R(T), where, D is distance, R is rate and T is time.
Write this rate as a unit rate
inch to
hour
All rate problems can be solved by using formula, D = R (T) , where D is distance, R is rate and T is time.
Write this rate as a unit rate
inch to
hour
All rate problems can be solved by using formula, D = R (T) , where D is distance, R is rate and T is time.
Is the given table a proportional relationship? If so, what is the constant?
![](data:image/png;base64,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)
We observe that all the ratio in the above tables are equal. So, these values are in a proportional relationship.
Is the given table a proportional relationship? If so, what is the constant?
![](data:image/png;base64,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)
We observe that all the ratio in the above tables are equal. So, these values are in a proportional relationship.
The constant of proportionality in the equation y =
x is _______.
When a ratio is written as a fraction, the constant of proportionality is the number gotten by dividing the denominator by the numerator.
The constant of proportionality in the equation y =
x is _______.
When a ratio is written as a fraction, the constant of proportionality is the number gotten by dividing the denominator by the numerator.
The constant of proportionality can be found by finding the __________ _____________.
When comparing two or more ratios, the constant of proportionality is a fixed number that indicates the rate at which ratios increase or decrease.
The constant of proportionality can be found by finding the __________ _____________.
When comparing two or more ratios, the constant of proportionality is a fixed number that indicates the rate at which ratios increase or decrease.
The equation for direct proportionality is y = k x, which shows as x increases, y also _____.
The direct proportion formula says if the quantity y is in direct proportion to quantity x, then we can say y = kx, for a constant k. y = kx is also the general form of the direct proportion equation.
The equation for direct proportionality is y = k x, which shows as x increases, y also _____.
The direct proportion formula says if the quantity y is in direct proportion to quantity x, then we can say y = kx, for a constant k. y = kx is also the general form of the direct proportion equation.
Write statement below accurately represents the graph.
![](data:image/png;base64,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)
The graph of a direct variation is a straight line.
Write statement below accurately represents the graph.
![](data:image/png;base64,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)
The graph of a direct variation is a straight line.
Choose the correct option for below table.
![](data:image/png;base64,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)
When a ratio is written as a fraction, the constant of proportionality is the number gotten by dividing the denominator by the numerator.
Choose the correct option for below table.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAaMAAAA+CAYAAACGGnTdAAAI7UlEQVR4nO3dv07b3hsG8Mc/9SpQVaEcX0OHKunAgHMBDGRjimTPVb0wdrHVGUtMTD0euICEgaG2OnANsRUhxG2c39A6X4L/xBCTcxyejxQJYiO9emT82uecxJZSSoGIiEijD8UPlmXprIOIiN6BuvufD212os0sy2J+HWCO3WGW3WCO3Wm66fnfDusgIiKqxGZERETasRkREZF2bEZERKQdmxEREWnHZvROeJ4Hy7LWXmma6i7LeGEYwrIshGG4cV/btksZ53m+gyrNVnXstZGmKSzLgm3bb1xhP1TlWHd8vTZzndiM3oHxeIw8z6GUWr2klBiNRojjWHd5RsrzfPUPLIRo3Lc4aU6n07WMlVIYDAa7KNdY4/EYANYycV23VaM+OzvbmP174XkegPUcgyCAEKJ0UblN5lqpf578SK9gan5JkigAKsuy0jbXdZXjOBqqqmdCjkVmBSGECoKgdn8Ajdt1MSHLOpsyDYJAOY6jgiBQQogdVlZmco6O4yjXdVvtuynzXWjK8kNtl6K98t6v0F9iOBy2/pBjGIYQQuD79+9vXNV+OT4+xnK5rN3u+z6SJMGfP392WNV+25S5bkYP043H49Ut51PFOD5tNhwOAaA055HnOaIowvn5uY6y9sbt7S2m06nuMvaK53lwXXd17FK9+XyOr1+/6i6jE0Y3o9lshvl8vnYizfN8ddVE7WRZBt/3VxPBaZpCCAEpJf/ht7RYLPDp0yfdZfTOzc1N5Um0uEj69u2bhqr6xbIsOI6D09PTVvvXZW4Ko5sRAEgp4fv+auLt+PiYV00vNBgMoJTCdDqFZVkYjUZQSrU+iKlelmX4+PEjV9K9QBzHyLKs8vjzPA9BEHBYucLzFXKu62I2m7X626bMTWF8Mzo9PYXrujg+Pl7dIV1cXGiuql+KlWHL5XK1CseyrNUKHdrOaDTCzc1Nq5VOBEwmE0gpS++naYrFYsH5txoXFxdrxxjw9+6ozYrYusyN0maVgwkAKAAqSRLdpVQyNb8sy2pzA9B6Jc6umJhj0yqkpmPyJSud3oKpWdZlIoRQUsq197iarlkQBBvra8p815pqNf7OCMDacMfDw4PGSvqnaTI4SRJEUcThpC3VHZNHR0fM9oliMVLVyEYYhrBt2+hhJBOdnJwAQO0deFPmpulFMypOqFJKTCYT3eX0ymKxwOHhYeW2g4MDAMDj4+MuS9orjuPg/v6+cpvJy2h3zfM8LBYLLBaLyu23t7eYz+eleTff95FlGefhXmFT5qYxvhmFYYjFYoGLiwucnp7CcZzK5d5Uzbbt2pNi0YSKpkQvd3R0hMvLy8ptNzc3ODo62nFF5gnDEFEUNZ4UZ7NZ6dsr1JO5t+J3LmxYd3d3BwClkY82mRunzVieLnXzHQBKY8u6mZifUv99m8DzOY8iW92fyH7OxBzbfAPD8zF5IQTnOtR/cxpV3wDS9u/fe45158Hif7tqnm2bzN9SU5ZGN6O6iTcppXFhm5jfU/i3AOTpy8TFICbkWPyT172qGpMQYuM+u2ZClk05trmoZDP6q2hIz19V58BtM39LTVla/3bgc963xPy6wRy7wyy7wRy705Sl8XNGRES0/9iMiIhIOzYjIiLSjs2IiIi0YzMiIiLt1lbTERERvaW61XQf2uxEm3H5ZzeYY3eYZTeYY3eabno4TEdERNqxGRERkXZsRkREpB2bERERacdmRERE2rEZvQN5npceWhaGoe6yem88HsOyLMRxrLuU3orjuHRsep6nu6xe8TyvlGHdk19N9mHzLtRnaZpiNBohy7LVg8nyPIcQAsvlshePIzZRHMf9enCZgcbjMebzOZdNb6F40OjTDOM4xmg0gpSyV49x5yMkOtK3/OI4xmQyMa7mvuRoWRaSJDH6n97kLMMwhO/7xtb3lKk5Vl1oFjzPQ57nmM1mmqqrxkdIUMnnz58B/L1LopcJwxCO45Qe9Uzt+b4PKaXuMvbCvjyK3dhmlKYpLMuqPVnats15D9q5PM/h+z6HN7dQzGeYeDfZJ8XF0PPzYJ7niKII5+fnOsp6NWOb0XA4hBAC19fXpW1pmiLLMpycnGiobD/c3d1BCLE3V1W78vPnT7iuy9y28PDwACGE7jL2QpZl8H0ftm0D+HtuFEJAStm7O3djmxEATKdTXF5elt7/9esXHMfhCWEL5+fnmE6nusvolTRNEUUR74q2dH9/D9u2uZKuA4PBAEopTKdTWJaF0WgEpVQv7zqNbkYnJyfIsqy0TLGPt6AmKW7rv3//rrmSfvnx4wfnOToyn8/x+/dvKKXWXlEUrVaI0WbFxzaWyyWUUgiCoL9NXf3z5EejOI6jXNdd/S6lVEIIjRVVMzW/56SUCoDKskx3KZVMzbHuuAOgpJQaKtrM1CyDIFCO41RuS5LEuOPT1ByzLFMAVJIkpW0A1s6bpmjK0ug7IwA4OztDFEWr36+urji89EppmmIymUBKySHOF5pMJri6utJdxt6o+4xWMc/x+Pi4y3J6yfM8uK5bOTeUJAmiKOrValnjm1Ex9hnHMfI8x3w+58KFV8jz3OjPxJisGCYejUalOQ7gb6Pq7dCIBl++fEGWZZXb+nTy1G2xWODw8LBy28HBAYB+NXXjmxEAuK6Lq6srXF9fc+HCKwkhEAQBG9ErDIfD0txG8QIAKSWUUlzY0FJxJV/1NUp3d3dr+1A927axXC4rtxVNqGhKvdBmLE+3YhwZHJ9/FRg6flzF5Byr8Jh8nSAISnNDxXymaXmammNxXgyCYO39Yi7p+fsmaMqyN18HZNs2siwztkZT8yu+dqWOEMKo71gzNcc6lmUZO/RpepbFV1I9ZWK9pudY9SjvJEmMvLtsyrI3zWg8HmMwGBg7FGJ6fn3BHLvDLLvBHLvTlGUvvrW7WLiQJInuUoiI6A30YgHD9fU1hBBG3nYSEdH2etGMLi8v+dkiIqI91ps5I9Mxv24wx+4wy24wx+7weUZERGQ0NiMiItJubZiOiIjoLW1c2s0xUSIi0oXDdEREpB2bERERacdmRERE2rEZERGRdv8HB3kQm6AVDK8AAAAASUVORK5CYII=)
When a ratio is written as a fraction, the constant of proportionality is the number gotten by dividing the denominator by the numerator.