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Math Help - Bacteria doubling

  1. #1
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    Bacteria doubling

    I have a exponential function problem.

    A population of 500 E. coli bacteria doubles every 15 minutes. Use this information to find an expression for this population growth. Using this expression, find what the population would be in 87 minutes. Use an exponential model.

    I set up a table to find the values

    time(15min) and population
    0 500
    15 1000
    30 2000
    45 4000
    60 8000

    I have to find the expression at 87mins.
    The expression that I have is y=500e^x
    I plug 87 in the equation for x and I end up getting 3.03 times 10 to the power of 40
    I don't think I'm right.
    Any help would be appreciated.
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  2. #2
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    Quote Originally Posted by JohnBlaze View Post
    I have a exponential function problem.

    A population of 500 E. coli bacteria doubles every 15 minutes. Use this information to find an expression for this population growth. Using this expression, find what the population would be in 87 minutes. Use an exponential model.

    I set up a table to find the values

    time(15min) and population
    0 500
    15 1000
    30 2000
    45 4000
    60 8000

    I have to find the expression at 87mins.
    The expression that I have is y=500e^x
    I plug 87 in the equation for x and I end up getting 3.03 times 10 to the power of 40
    I don't think I'm right.
    Any help would be appreciated.
    try this equation ...

    P(t) = 500 \cdot 2^{\frac{t}{15}}

    t in minutes
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  3. #3
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    Quote Originally Posted by skeeter View Post
    try this equation ...

    P(t) = 500 \cdot 2^{\frac{t}{15}}

    t in minutes
    Thanks a lot
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