# Maths B - Population Growth

posted by
**Nina** on
.

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=¡¼Ae¡½^kt where A and k are constants.

With the aid of appropriate examples, explain how the growth of P over time would be influenced by:

The Magnitude of A

The Magnitude of k

The sign of k