Question

The population of a town in California is modeled by the function f(x)=18,791(1.023)^x. If the initial population ( that is, the population when x=0) was measured January 1, 2012, what was the initial population?

Answer 1

Explanation

The model of the population of the town is given as;

$f(x)=18791\mleft(1.023\mright)^x$

At x=0 we get the initial population of the town

$\begin{gathered} \text{Initial population=18791(1.023)}^0 \\ =18791 \end{gathered}$

Answer: 18791