Posted by **Nina** on Saturday, July 28, 2012 at 11:34pm.

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

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