Question

28) The population of San Francisco was 276,730 in 2000. If the population is growing at a rateof 15% and can be modeled by the function f(x) = 276,730(1.15)* where x represents years since2000, find the population of San Francisco in 2009.

Answer 1

The population of san fransisco is modeled by the function;

$f(x)=276,730(1.15)^x$

Where x is the number of years since 2000.

In 2009, x = 9, thus, we have the population to be;

$\begin{gathered} f(9)=276,730(1.15)^9 \\ =1324277.181 \end{gathered}$

Thus, to the nearest whole number, the population in 2009 was;

1324277 people