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19 July, 08:45

The logistic growth function f (t) = models the number of people who have become ill with a particular infection t weeks after its initial outbreak in a particular community. How many people were ill after 9 weeks?

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  1. 19 July, 10:27
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    The function is supposed to be

    f (t) = 87000 / (1+1449e^-1.2t)

    We can find the number of people ill after 8 weeks using the function above. We simply have to substitute 9 into t and solve for f (t)

    f (9) = 87000 / (1 + 1449e^-1.2 (9))

    f (9) = 84,502

    After 9 weeks, there will be 84,502 infected people
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