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Math Help - More Exponential Models

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    More Exponential Models

    The count in a culture of bacteria was 600 after 2 hours and 38,400 after 6 hours. Find a function that models the number of bacteria n (t) after t hours.
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    Quote Originally Posted by cheer4life1694 View Post
    The count in a culture of bacteria was 600 after 2 hours and 38,400 after 6 hours. Find a function that models the number of bacteria n (t) after t hours.
    let A = number of bacteria at t = 0

    38400 = Ae^{6k}

    600 = Ae^{2k}

    divide the first equation by the second ...

    64 = e^{4k}

    solve for k, then go back to either equation and determine A.
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