Respuesta :

Exponential growth:

[tex]P(t)=A*(1+r)^t[/tex]

A is the initial population

r is the rate of growth in decimal form

t is the time (in years)

For the given situation:

[tex]\begin{gathered} P(t)=600*(1+0.04)^t \\ P(t)=600*1.04^t \end{gathered}[/tex]

To find the population in 22 years evaluate the equation above for x=22

[tex]\begin{gathered} P(22)=600*1.04^{22} \\ P(22)\approx1422 \end{gathered}[/tex]Then, the predicted population in 22 years is approximately 1422