Question

The current student population of Denver is 2900. If the population increases at a rate of 18.5% each year. What will the student population be in 8 years?Write an exponential growth model for the future population P(x) where x is in years:P(x)= What will the population be in 8 years? (Round to nearest student)

Answer 1

Formula

`P(x)=a(1+r)^x`

Given

`\begin{gathered} a=2900 \\ r=18.5\text{ \%} \\ x=8years \end{gathered}`

Substitute the given into the formula

`\begin{gathered} P(8)=2900(1+0.185)^8 \\ P(8)=2900(1.185)^2 \\ P(8)=4,072.2525 \end{gathered}`

The final answer

`4,072students`