Question

A population numbers 10,000 organisms initially and grows by 3% each year.Suppose P represents population and t represents the number of years of growth. An exponential model forthe population can be written in the form P = abt, whereP =

Answer 1

ANSWER:

$P=10000\cdot(1.03)^t$

STEP-BY-STEP EXPLANATION:

We have the following:

$\begin{gathered} P=ab^t \\ a=10000 \\ b=1+\frac{3}{100}=1.03 \\ t=t\text{ years} \\ \text{ replacing} \\ P=10000\cdot(1.03)^t \end{gathered}$