The initial population of quail be represented as P₀
P₀ = 650
Annual increase rate, r = 2.5% = 2.5/100 = 0.025
The exponential function that models the population will be given by the formula:
[tex]P(t)=P_0(1+r)^t[/tex]Substitute P₀ and r into the equation above:
[tex]\begin{gathered} P(t)=650(1+0.025)^t \\ P(t)=650(1.025)^t \end{gathered}[/tex]