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Math·Advanced Math·Nonlinear functions

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The function $f(x)=236(1.022{)}^x$ models the value, in dollars, of a certain bank account from 1958 through 1973, where $x$ is the number of years after the end of 1958. Which of the following is the best interpretation of “$f(5)$ is approximately equal to 263” in this context?

A

The value of the bank account is estimated to increase by approximately 263 dollars every 5 years between the end of 1958 and the end of 1973.

B

The value, in dollars, of the bank account is estimated to be approximately 5 times greater at the end of 1963 than at the end of 1958.

C

The value of the bank account is estimated to be approximately 5 dollars greater at the end of 1963 than at the end of 1958.

D

The value of the bank account is estimated to be approximately 263 dollars at the end of 1963.