A towns population is currently 500. If the population doubles every 30 years, what will the populat

Discussion in 'Calculator Requests' started by math_celebrity, Apr 12, 2019.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    A towns population is currently 500. If the population doubles every 30 years, what will the population be 120 years from now?

    Find the number of doubling times:
    120 years / 30 years per doubling = 4 doubling times

    Set up our growth function P(n) where n is the number of doubling times:
    P(n) = 500 * 2^n

    Since we have 4 doubling times, we want P(4):
    P(4) = 500 * 2^4
    P(4) = 500 * 16
    P(4) = 8,000
     

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