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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

Respuesta :

10737

Explanation

[tex]P(t)=250e^{0.47t}[/tex]

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

Step 1

when t=8

replace in the equation

[tex]\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}[/tex]

so, the answer is 10737

I hope this helps you

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