For this case we have an equation of the form: f (w) = A * (b) ^ w Where, A: initial amount b: growth rate w: number of weeks Substituting values we have: f (w) = 400 * (1.05) ^ w Answer: the beetle population can be determined after a number of weeks, w, with the following function: f (w) = 400 * (1.05) ^ w
