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24 October, 01:26

A country's population in 1992 was 72 million. In 1998 it was 76 million. Estimate the population in 2012 using the exponential growth formula. Round your answer to the nearest million.

P=Ae^kt

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Answers (2)
  1. 24 October, 01:30
    0
    Hello there.

    A e^ (2012 k)
  2. 24 October, 01:44
    0
    Your exponential growth formula, P (t) = A e^ (kt), contains two unknown constants, A and k. Once you find them, you can find the population for any t. (I assume, t is measured in years.) From your "story", you have:

    72 million = P (1992) = A e^ (1992 k)

    76 million = P (1998) = A e^ (1998 k)

    From these two equations, you can find the two unknowns A and k (do it yourself). Once you do, your answer is

    P (2012) = A e^ (2012 k)
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