# Maths B question - population

posted by
**Nina**
.

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

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