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Math Help - Bacteria Growth

  1. #1
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    Bacteria Growth

    The number of bacteria in a culture is increasing according to the law of exponential growth. There are 125 bacteria in the culture after 2 hours and 350 bacteria after 4 hours.

    How do I find the the initial population?
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  2. #2
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    P = P_o e^{kt}

    \frac{350 = P_o e^{4k}}{125 = P_o e^{2k}}

    2.8 = e^{2k}

    solve for k, then go back to the easier equation and solve for P_o
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