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18 April, 10:11

A bacteria population starts with 350 bacteria and grows at a rate of r (t) = (450.267) e1.12567t bacteria per hour. how many bacteria will there be after three hours? (round your answer to the nearest integer.)

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  1. 18 April, 13:34
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    Given that the bacteria has been modeled by the function:

    r (t) = (450.267) e^ (1.12567t)

    thus the number of bacteria after 3 hours will be:

    r (3) = 450.267e^ (1.12567*3)

    r (3) = 13,185.20623

    The number of bacteria after 3 hours will be:

    13, 185.20623
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