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Math Help - Exponential Models

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    Exponential Models

    A culture contains 1700 bacteria initially and doubles every 30 minutes. Find a function that models the number of bacteria n(t) after t minutes. (Enter the growth rate using natural logarithm).
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    Quote Originally Posted by cheer4life1694 View Post
    A culture contains 1700 bacteria initially and doubles every 30 minutes. Find a function that models the number of bacteria n(t) after t minutes. (Enter the growth rate using natural logarithm).
    n = 1700 \cdot 2^{kt}

    3400 = 1700 \cdot 2^{30k}

    solve for k and you have your function.

    or ...

    n = 1700 \cdot e^{kt}

    3400 = 1700 \cdot e^{30k}

    solve for k ... same drill.
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    ohhh ok thank you!
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    Quote Originally Posted by cheer4life1694 View Post
    A culture contains 1700 bacteria initially and doubles every 30 minutes. Find a function that models the number of bacteria n(t) after t minutes. (Enter the growth rate using natural logarithm).
    Actually, a perfectly valid answer to this is n(t)= 2^{t/30}. Of course that does not involve entering "the growth rate using natural logarithm", but it is an exponential function that models the growth of the bacteria,
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