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26 December, 20:36

Rowan has $50 in a savings jar and is putting in $5 every week. Jonah has $10 in his own jar and is putting in $15 every week. Each of them plots his progress on a graph with time on the horizontal axis and amount in the jar on the vertical axis. Which statement about their graphs is true?

(1) Rowan's graph has a steeper slope than Jonah's. (2) Rowan's graph always lies above Jonah's. (3) Jonah's graph has a steeper slope than Rowan's. (4) Jonah's graph always lies above Rowan's.

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  1. 26 December, 21:19
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    (3) Jonah's graph has a steeper slope than Rowan's

    Step-by-step explanation:

    First we are going to write the equations for the amount of money that each one save

    y = a+bx

    Where y: Amount of money in the jar

    a: Initial saving

    b: Money saved every week (graph's slope)

    x: Number of week

    Then, for Rowan

    y = 50 + 5x

    and for Jonah

    y = 10 + 15x

    Initially Rowan's graph lies above Jonah's graph but this situation change with time.

    It is always true that Jonah's graph has a steeper slope than Rowan's, because for Rowan's graph the slope is 5 and for Jonah's graph the slope is 15

    Then the answer is:

    (3) Jonah's graph has a steeper slope than Rowan's
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