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Maths B - Population Growth

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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

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