Solve the Problem by Writing a Variation Model $15 \mathrm { in } ^ { 3 }$

Multiple Choice

Solve the problem by writing a variation model. Under constant temperature, the volume occupied by a gas varies inversely to the pressure applied. If the gas occupies a volume of 24 cubic inches under a pressure of 5 pounds per square inch, find the volume when the gas is subjected to a pressure of 10 pounds per square inch.

A) $15 \mathrm { in } ^ { 3 }$
B) $13 \mathrm { in } ^ { 3 }$
C) $12 \text { in. }^{3}$
D) $14 \mathrm { in } ^ { 3 }$
E) $11 \mathrm { in } ^ { 3 }$