The population P of a particular city, Metropia, is growing at a rate proportional to the

Question

current population.
The population at time t years is modelled by the equation P = Aekt where A and k are
constants.
(a) With the aid of appropriate examples, explain how the growth of P over time
would be influenced by:
(i) The magnitude of A
(ii) The magnitude of k
(iii) The sign of k