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23 June, 23:52

Enrico deposited $2000, in a savings account. Each month he will deposit an additional $25. Which kind of function best models the relationship between time and the total amount in the savings account?

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  1. 24 June, 00:18
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    Linear model

    The function f (x) which represents the total amount in the savings account in x months is given by: f (x) = 25x+2000

    Step-by-step explanation:

    Given:

    Enrico deposited $2000 in a savings account.

    Each month he will deposit additional $25.

    This shows that the rate at which the amount is increasing each month is constant.

    Therefore, the model will be linear with a slope 25.

    So, if x represents the number of months.

    and f (x) represents the corresponding amount in the account.

    Then the function f (x) is given by: f (x) = 25x+2000
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