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5 October, 18:36

A bacteria population is 3000 at time t = 0 and its rate of growth is 1000 · 8t bacteria per hour after t hours.

What is the population after one hour? (Round your answer to the nearest whole number.)

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  1. 5 October, 18:42
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    P=3000x e^ (1000 x 8t) is the function

    t is time, so "after a hour" means that the t is 1.

    The problem is asking for the population, which is P

    Substitute t for 1 and you obtain:

    P = 3000 x e^ (1000 x 8 x 1)

    P=3000e^8000
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