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

$y=a(1+\frac{b}{100})^x$

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

then replacing a=6 and b=12

$y=6(1+\frac{12}{100})^x$

and simplify

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