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Math Help - Exponential Growth

  1. #1
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    Exponential Growth

    im not sure what this question means

    A bacteria culture starts with 980 bacteria and grows at a rate propotional to its size. After 6 hours there are 5880 bacteria.

    Find the population after t hours (function of t)
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  2. #2
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    You must have seen ONE example?! Based on the title of your post, I suspect you already have at least SOME clue how it all will turn out.

    If C(t) is the size of the culture at time t,

    "grows at a rate propotional to its size" means \frac{dC(t)}{dt} = k*C(t).

    You must learn to solve that (It's a separable differential equation.) and use the given conditions to discern the required parameters.
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