Question

There are 6 mice in an attic. Their population is growing at a rate of12% per month.a. Write an exponential growth function to model this situation.

Answer 1

general equation of a population is

`y=a(1+(b)/(100))^x`

where a is the initial population and b the percent of growing

then replacing a=6 and b=12

`y=6(1+(12)/(100))^x`

and simplify

`\begin{gathered} y=6(1+0.12)^x \\ y=6(1.12)^x \end{gathered}`