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

Step-by-step 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