Chapter 21, Problem 40TS

Suppose that you have a logistically growing population with rate of increase r = 2 in a

habitat where carrying capacity K = 50. Suppose also that the habitat is overpopulated, with N = 60. (Note that N is larger than the carrying capacity, which means that the population size is larger than the habitat can support). Use the equation for logistic growth, growth rate = $rN\left(K-N\right)/K$, to show that the growth rate of the population is negative-that is, the population size will decrease.