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Question

Question
Mrs. Varner deposited a dollars in a bank account that has been earning annual interest. The total value of the account is based on the function f(x)=q*1.025^(x) , where x represents the number of years the money has been in the account If no deposits or withdrawals are made after the initial deposit, which equation represents the total value of the account 5 years from now? xf(x)=q*1.025^(x)+5 qf(x)=q*1.025^(x+5) f(x)=q*1.025^(x-5) f(x)=q*1.025^(x)-5

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Leon

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Answer

B

Explanation

The function f(x)=q\cdot 1.025^{x} represents the total value of the account after x years. If we want to find the total value of the account 5 years from now, we need to replace x with (x+5) in the function. This is because x represents the number of years the money has been in the account, so if we want to find the value 5 years from now, we need to consider the money that has been in the account for (x+5) years. Therefore, the correct equation is f(x)=q\cdot 1.025^{x+5}.