A population numbers 13,000 organisms initially and grows by 7.1% each year.

Suppose $\displaystyle {P}$ represents population, and $\displaystyle {t}$ the number of years of growth. An exponential model for the population can be written in the form $\displaystyle {P}={a}\cdot{b}^{{t}}$ where
$\displaystyle {a}=$ and $\displaystyle {b}=$ .