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=(3525)/(3000) \\ 1+r=\log _7((3525)/(3000)) \\ 1+r=0.083 \end{gathered}`

Therefore the missing part of the function is 0.083