Solve the Problem $V$ Of a Given Mass of Gas Varies Directly as the Otherwise

Multiple Choice

Solve the problem. Round to the nearest tenth unless indicated otherwise.
-The volume $V$ of a given mass of gas varies directly as the temperature $T$ and inversely as the pressure $\mathrm { P }$ . If $\mathrm { V } = 78.0$ in $^ { 3 }$ when $\mathrm { T } = 130 ^ { \circ }$ and $\mathrm { P } = 20 \mathrm { lb } / \mathrm { in } ^ { 2 }$ , what is the volume when $\mathrm { T } = 340 ^ { \circ }$ and $\mathrm { P } = 20 \mathrm { lb } / \mathrm { in } ^ { 2 }$ ?

A) $174.0$ in $^ { 3 }$
B) $194.0$ in $^ { 3 }$
C) $204.0 \mathrm { in } ^ { 3 }$
D) $214.0 \mathrm { in } ^ { 3 }$