Question

Complete the formula, where P is the population and and is the number of years

Answer 1

An exponential growth model has the form:

$P=P_0(1+r)^n_{}$

we know that the initial population was 3000 and that after seven years the population was 3525, plugging this vales and solving for the unknown we have:

$\begin{gathered} 3525=3000(1+r)^7 \\ (1+r)^7=\frac{3525}{3000} \\ 1+r=\log _7(\frac{3525}{3000}) \\ 1+r=0.083 \end{gathered}$

Therefore the missing part of the function is 0.083