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 7 miles. Round to the nearest hundredth.
A) $1.3 \mathrm { hr }$
B) $0.34 \mathrm { hr }$
C) $0.19 \mathrm { hr }$
D) $18.52 \mathrm { hr }$

Question

Quizplus · Accepted Answer

To find the duration of a storm with a diameter of 7 miles, substitute $d = 7$ into the expression $0.07d^{3/2}$. This gives $0.07 \times 7^{3/2}$. Calculating $7^{3/2}$ gives $18.520259177452$, and multiplying by $0.07$ yields approximately $1.29601814839764$, which rounds to $1.3$ hours.

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