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20 May, 08:17

At the end of the summer, Caitlin had saved $120 from her summer job. This was her initial deposit into a new savings account at the bank. As the school year starts, Caitlin is going to deposit another $5 each week from her allowance. Is her account balance proportional to the number of weeks of deposits? Use the table below. (I would show you one, but I don't know how) Explain your reasoning.

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  1. 20 May, 09:42
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    Let x = represent the number of weeks of deposits

    A = 120 + 5x the account balance after x weeks

    The account balance is directly proportional to the number of weeks of deposits if:

    A/x = constant

    (120 + 5x) / x = 120/x + 5 is not a constant

    For example:

    After 1 week there will be: 120 + 1*5 = $125 on the account

    After 2 week there will be: 120 + 2*5 = $130 on the account

    After 3 week there will be: 120 + 3*5 = $135 on the account

    But 125/1 130/2 135/3

    The account balance is not proportional to the number of weeks of deposits.
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