A culture of bacteria doubles every hour. If there are 500 bacteria at the beginning, how many bacte

Discussion in 'Calculator Requests' started by math_celebrity, May 19, 2021.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    A culture of bacteria doubles every hour. If there are 500 bacteria at the beginning, how many bacteria will there be after 9 hours?

    Assumptions and givens;
    • h is the number of hours.
    • B(h) is the number of bacteria at time h
    • B(0) is the starting bacteria amount
    • Doubling means multiplying by 2, so we have:

    B(h) = B(0) * 2^h

    We want h = 9, so we have:
    B(9) = 500 * 2^9
    B(9) = 500 * 512
    B(9) = 256,000
     

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