Question

How long will it take for the population to reach 2128 alligators, according to this model?

Answer 1

From the problem we will have the following:

`\begin{gathered} 2128=(133)4^(t/4)\Rightarrow16=4^(t/4) \\ \\ \Rightarrow ln(16)=ln(4^(t/4))\Rightarrow ln(16)=(t)/(4)ln(4) \\ \\ \Rightarrow t=(4ln(6))/(ln(4))\Rightarrow t\approx5.17 \end{gathered}`

So, the time it will pass will be approximately 5.17 years.