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 15 miles. Round to the nearest hundredth.
A) $4.07 \mathrm { hr }$
B) $0.27 \mathrm { hr }$
C) $58.09 \mathrm { hr }$
D) $1.08 \mathrm { hr }$

Question

Quizplus · Accepted Answer

To find the duration of a storm with a diameter of 15 miles, substitute $d = 15$ into the expression $0.07d^{3/2}$. This gives $0.07 \times 15^{3/2}$, which equals approximately 4.07 hours when calculated and rounded to the nearest hundredth.

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