Question

The total number of sales of a spy novel is modeled by the function f(x)=13,435(1.038)x. If the initial total number of sales (that is, the total number of sales when x=0) was measured January 1, 2012, what will the total number of sales be on January 1, 2025? Round your answer to the nearest whole number, if necessary.

Answer 1

we have the exponential function

$f(x)=13,435(1.038)^x$

where

f(x) is the total sales

x is the number of years since January 1 2012

For January 1 2025

Calculate the value of x

x=2025-2012=13 years

substitute in the function above

$\begin{gathered} f(x)=13,435(1.038)^{(13)} \\ f(x)=21,817 \end{gathered}$

the answer is 21,817 sales