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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