Answer:
[tex]P=513(1.036)^n[/tex]Explanation:
For a population growing exponentially with a rate of r%, the formula for the new population, P(n), after n years is:
[tex]\begin{gathered} P(n)=P_o(1+r)^n \\ P_o=\text{Initial Population} \end{gathered}[/tex]Given:
• Initial Population, Po = 513
,• Rate = 3.6% = 0.036
Therefore, an exponential model to represent this situation is:
[tex]\begin{gathered} P=513(1+0.036)^n \\ P=513(1.036)^n \end{gathered}[/tex]The model is:
[tex]P=513(1.036)^n[/tex].
