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14 December, 10:25

A culture started with 5000 bacteria. after 2 hours, it grew to 6500 bacteria. Predict how many bacteria will be present after 18 hrs

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  1. 14 December, 13:06
    0
    First find the rate of growth

    The formula is

    A=p e^rt

    A 6500

    P 5000

    R rate of growth?

    E constant

    T 2 hours

    Solve the formula for r

    R=[log (A/p) : log (e) ]:t

    R = (log (6,500:5,000) : log (e)) : 2

    R=0.1312 (rate of growth)

    Now predict how many bacteria will be present after 18 hrs

    A=p e^rt

    A?

    P 5000

    R 0.1312

    E constant

    T 18 hours

    A=5,000*e^ (0.1312*18)

    A=53,039.5 round your answer to get

    A=53040 ... answer
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