Suppose that you have a logistically growing population with rate of increase in a habitat where carrying capacity . Suppose also that the habitat is overpopulated, with N = 60. (Note that N is...

Suppose that you have a logistically growing population with rate of increase

in a habitat where carrying capacity
. 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
, to show that the growth rate of the population is negative— that is, the population size will decrease.