Question

The growth of a population of squirrels is glven by the equation below where trepresents the number of years. G(t) = 350 (1.25) What is the initial population of squirrels? A (b) By what percentage is the population Increasing each year?

Answer 1

$G(t)=350(1.25)^t$

What is the initial population of squirrels?

Evaluate the function for t = 0:

$\begin{gathered} G(0)=350(1.25)^0 \\ G(0)=350(1) \\ G(0)=350 \end{gathered}$

By what percentage is the population Increasing each year?​

Evaluate the function for t = 1:

$\begin{gathered} G(1)=350(1.25)^1 \\ G(1)=437.5 \end{gathered}$

The percent change is given by:

$\begin{gathered} Percent_{\text{ }}change=\frac{New_{\text{ }}value-old_{\text{ }}value_{}}{old_{\text{ }}value}\times100 \\ Percent_{\text{ }}change=\frac{437.5-350}{350}\times100 \\ Percent_{\text{ }}change=25 \end{gathered}$

The population is increasing by 25% each year.

what will be the population of squirrels after one year.roumd to nearest whole number.

Evaluate the function for t =1:

$G(1)=437.5\approx438$

438 squirrels