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7 October, 08:41

If a town with a population of 10,000 doubles every 14 years, what will the population be in 42 years and is it modeled by a linear function or a exponential function?

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  1. 7 October, 11:13
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    This is an exponential function.

    The starting population is: 10,000 and it doubles every 14 years.

    In 42 years (42 : 14 = 3) the population doubles 3 times.

    The equation (exponential) is:

    y = 10,000 * 2^n

    In this case: n = 3

    y = 10,000 * 2 ^3 = 10,000 * 8 = 80,000

    Answer: In 42 years the population of this town will be 80,000.
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