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    The maximum dosage of a drug

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    1) A ball is hit into the air. Its height, s, at time t, is given by the equation s(t)=-16t^2+88t+3 . Determine the maximum height of the ball. Round to the nearest foot.
    _____feet

    2)The maximum dosage of a drug that can be given to an individual is a function of the individual's weight. The following table gives the maximum dosage of a certain drug for various weights.

    Weight (lbs) Dosage (mgs)
    88 67
    99 75
    121 91
    132 99

    Express the maximum dosage, D, as a function of the individual's weight, w.
    [Pay attention to the independent variable - it's not x!]

    D=_____

    What is the maximum dosage of this drug for a man who weighs 198 pounds?
    _______mgs

    3)A landscaper wants to combine golden landscape rock with rust-colored landscape rock to make a mix. The golden rock costs $0.59 per pound and the rust-colored rock cost $0.49 per pound. If the landscaper buys 70 pounds of the mixture costing a total of $38.80, how much of the rust-colored rock did he buy?
    _______pounds

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    Solution Preview

    Please see the attached file.

    1) A ball is hit into the air. Its height, s, at time t, is given by the equation s(t)=-16t^2+88t+3 . Determine the maximum height of the ball. Round to the nearest foot.
    _124_feet
    Set s'(t)=0 and solve for t
    -32t+88=0
    t=88/32=2.75
    So s(2.75)=-16(2.75^2)+88(2.75)+3=124

    2)The maximum dosage of a drug that can be given to an ...

    Solution Summary

    The maximum dosage of a drug is identified.

    $2.49

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