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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.

Sagot :

general equation of a population is

[tex]y=a(1+\frac{b}{100})^x[/tex]

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

then replacing a=6 and b=12

[tex]y=6(1+\frac{12}{100})^x[/tex]

and simplify

[tex]\begin{gathered} y=6(1+0.12)^x \\ y=6(1.12)^x \end{gathered}[/tex]