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2 November, 13:01

A population of 35 foxes in a wildlife preserve quadruples in size every 13 years. The function y=35 * 4^x, where x is the number of 13-year periods, models the population growth. based on the model, how many foxes will be after 39 years?

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  1. 2 November, 14:16
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    Answer: There would be 2240 Foxes after 39 years

    Step-by-step explanation:

    The population of 35 foxes in a wildlife preserve quadruples in size every 13 years. The population growth is modelled by the function,

    y = 35 * 4^x

    Where

    x represents the number of 13-year periods.

    In a period of 39 years, the number of of 13-year periods is

    39/13 = 3

    Since the are three 13-year periods, substituting x = 3 into the function, it becomes

    y = 35 * 4^3

    y = 35 * 64

    y = 2240
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