Solve the problem.
-The algebraic expression $0.07 \mathrm {~d} ^ { 3 / 2 }$ describes the duration of a storm, in hours, whose diameter is $\mathrm { d }$ miles. Use a calculator to determine the duration of a storm with a diameter of 8 miles. Round to the nearest hundredth.
A) $1.58 \mathrm { hr }$
B) $0.2 \mathrm { hr }$
C) $22.63 \mathrm { hr }$
D) $0.42 \mathrm { hr }$

Question

Quizplus · Accepted Answer

To find the duration of a storm with a diameter of 8 miles, substitute $d = 8$ into the expression $0.07d^{3/2}$. This gives $0.07 \times 8^{3/2} = 0.07 \times 22.627417 = 1.58392$, which rounds to $1.58$ hours.

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