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a=18t+15 Jane made an initial deposit ...

`a=18t+15`
Jane made an initial deposit to a savings account. Each week thereafter she deposited a fixed amount to the account. The equation above models the amount a, in dollars, that Jane has deposited after t weekly deposits. According to the model, how many dollars was Jane’s initial deposit? (Disregard the $ sign when gridding your answer.)

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The correct answer is 15. The amount, a, that Jane has deposited after t fixed weekly deposits is equal to the initial deposit plus the total amount of money Jane has deposited in the t fixed weekly deposits. This amount a is given to be a = 18t + 15. The amount she deposited in the t fixed weekly deposits is the amount of the weekly deposit times t, hence, this amount must be given by the term 18t in a = 18t + 15 (and so Jane must have deposited 18 dollars each week after the initial deposit). Therefore, the amount of Jane’s original deposit, in dollars, is a − 18t = 15.
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