Solve the Problem $\mathrm { V }$ Of a Gas at Constant Temperature Increases Whenever the Pressure

Multiple Choice

Solve the problem.
-Boyle's Law says that volume $\mathrm { V }$ of a gas at constant temperature increases whenever the pressure $\mathrm { P }$ decreases, so that $\mathrm { V }$ and $\mathrm { P }$ are inversely proportional. If $\mathrm { P } = 14.5 \mathrm { lbs } / \mathrm { in } ^ { 2 }$ when $\mathrm { V } = 1100$ in 3 , then what is $\mathrm { V }$ when $\mathrm { P } = 24 \mathrm { lbs } /$ in $^ { 2 }$ ?

A) $\frac { 87 } { 275 }$ in $^ { 3 }$
B) $\frac { 7975 } { 12 } \mathrm { in } ^ { 3 }$
C) $\frac { 52800 } { 29 } \mathrm { in } ^ { 3 }$
D) $\frac { 275 } { 87 } \mathrm { in } ^ { 3 }$