A city doubles its size every 48 years. If the population is currently 400,000, what will the popula

Discussion in 'Calculator Requests' started by math_celebrity, Feb 27, 2020.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    A city doubles its size every 48 years. If the population is currently 400,000, what will the population be in 144 years?

    Calculate the doubling time periods:
    Doubling Time Periods = Total Time / Doubling Time
    Doubling Time Periods = 144/48
    Doubling Time Periods = 3

    Calculate the city population where t is the doubling time periods:
    City Population = Initital Population * 2^t

    Plugging in our numbers, we get:
    City Population = 400,000 * 2^3
    City Population = 400,000 * 8
    City Population = 3,200,000
     

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