Question

an initial population of 650 quail increase at an annual rate of 2.5% Write an exponential function that models the population overtime.

Answer 1

Answer:
`P(t)=650(1.025)^t`Explanations:

The initial population of quail be represented as P₀

P₀ = 650

Annual increase rate, r = 2.5% = 2.5/100 = 0.025

The exponential function that models the population will be given by the formula:

`P(t)=P_0(1+r)^t`

Substitute P₀ and r into the equation above:

`\begin{gathered} P(t)=650(1+0.025)^t \\ P(t)=650(1.025)^t \end{gathered}`