If y varies inversely as x, find the inverse variation equation for the situation.
-When the temperature stays the same, the volume of a gas is inversely proportional to the pressure of the gas. If a balloon is filled with 117 cubic inches of a gas at a pressure of 14 pounds per square inch, find the new pressure of the gas if the volume is decreased to 39 cubic inches.
A) $\frac { 39 } { 14 }$ pounds per square inch
B) 28 pounds per square inch
C) 39 pounds per square inch
D) 42 pounds per square inch

Question

Quizplus · Accepted Answer

The inverse variation equation is $y = \frac{k}{x}$, where $k$ is the constant of variation. Given $y = 117$ cubic inches and $x = 14$ psi, we find $k = 117 \times 14$. For a new volume of $39$ cubic inches, $y = \frac{117 \times 14}{39} = 42$ psi.

If Y Varies Inversely as X, Find the Inverse Variation 3914\frac { 39 } { 14 }1439​

If Y Varies Inversely as X, Find the Inverse Variation $\frac { 39 } { 14 }$