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29 July, 00:01

The concentration C (in mg/dl), of a certain antibiotic in a patient's bloodstream is given by C (t) = 50 t / (t^2 + 25) where t is the time (in hours) after taking the antibiotic. What is the concentration 5 hours after taking the antibiotic?

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  1. 29 July, 02:14
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    Given that the concentration has been modeled by the formula:

    C (t) = 50t / (t^2+25)

    where:

    t is time in hours.

    The concentration after 5 hours will be given by:

    t = 5 hours

    plugging the value in the equation we get:

    C (5) = (50 (5)) / (5^2+25)

    simplifying the above we get:

    C (5) = 250 / (50) = 5 mg/dl

    Answer: 5 mg/dl
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