Maths-
General
Easy

Question


The two graphs above show the total amounts of money that Ian and Jeremy each have deposited into their savings accounts for the first seven weeks after opening their accounts. After they made their initial deposits, how much more did Ian deposit each week

  1. straight $ 200
  2. straight $ 100
  3. straight $ 50
  4. straight $ 25

hintHint:

Hint:
  • Slope of any line with two point will be
text  slope  end text equals fraction numerator y subscript 2 minus y subscript 1 over denominator x subscript 2 minus x subscript 1 end fraction

The correct answer is: straight $ 50


    Explanation:
    • We have given two graphs above show the total amounts of money that Ian and Jeremy each have deposited into their savings accounts for the first seven weeks after opening their accounts.
    • We have to find how much more did Ian deposit each week than Jeremy.
    Step 1 of 1:
    To know how much they each deposited, we calculate the slope of each graph and find the difference between the values of both slopes.
    text  slope  end text equals fraction numerator y subscript 2 minus y subscript 1 over denominator x subscript 2 minus x subscript 1 end fraction
    Lan’s slope is
    text  slope  end text equals fraction numerator 800 minus 100 over denominator 7 minus 0 end fraction
    =700 over 7
    = 100
    Jeremy’s slope is
    text  slope  end text equals fraction numerator 650 minus 300 over denominator 7 minus 0 end fraction
    equals 350 over 7
    = 50
    Thus , Ian deposited  100-50 more each week that Jeremy
    = 100 - 50
    = 50
    Final answer:
    Hence, Ian deposited 50  more each week that Jeremy.

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