Question

A certain population increases according to the model p(t)=250e^0.47t. Use the model to determine the population when t=8. Round your answer to the nearest integer

Answer 1

10737

Explanation

$P(t)=250e^{0.47t}$

the model show the population P(t), when a input ( time ) is given

Step 1

when t=8

replace in the equation

$\begin{gathered} P(t)=250e^{0.47t} \\ P(8)=250e^{0.47\cdot8} \\ P(8)=250e^{3.76} \\ P(8)=250\cdot42.94 \\ P(8)=10737.10 \\ \text{rounded} \\ P(8)=10737 \end{gathered}$

so, the answer is 10737

I hope this helps you