A population numbers 11,000 organisms initially and grows by 8.8% each year.

(A) 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 $\displaystyle {b}=$ .

(B) Use logs to determine the number of years until the population reaches 23,100 organisms. Round answer to 2 decimal places.

$\displaystyle {t}=$ years