Solve.
-The function $\mathrm { f } ( \mathrm { x } ) = 0.07 \mathrm { x } ^ { 3 / 2 }$ models the duration of a storm, $\mathrm { f } ( \mathrm { x } )$, in hours, in terms of the diameter of the storm, $x$, in miles. Use a calculator to determine the duration of a storm with a diameter of 12 miles. Round to the nearest hundredth.
A) $41.57 \mathrm { hr }$
B) $0.77 \mathrm { hr }$
C) $2.91 \mathrm { hr }$
D) $0.24 \mathrm { hr }$

Question

Quizplus · Accepted Answer

To find the duration of a storm with a diameter of 12 miles, substitute $x = 12$ into the function $\mathrm { f } ( \mathrm { x } ) = 0.07 \mathrm { x } ^ { 3 / 2 }$ and calculate: $\mathrm { f } ( 12 ) = 0.07 \times 12^{3/2} = 0.07 \times 12^{1.5} \approx 2.91$ hours.

Solve -The Function f(x)=0.07x3/2\mathrm { f } ( \mathrm { x } ) = 0.07 \mathrm { x } ^ { 3 / 2 }f(x)=0.07x3/2

Solve
-The Function $\mathrm { f } ( \mathrm { x } ) = 0.07 \mathrm { x } ^ { 3 / 2 }$