for a fixed amount of a gas at a constant temperature, the volume of the gas is inversely proportional to…

for a fixed amount of a gas at a constant temperature, the volume of the gas is inversely proportional to its pressure. at a pressure of 30 pounds per square inch (psi), a gas has a volume of 600 in.³. which function can be used to model the volume of the gas y, in cubic inches, when the pressure is x psi? y = 18,000/x what would the volume of the gas be if the pressure is increased to 40 psi? in.³

for a fixed amount of a gas at a constant temperature, the volume of the gas is inversely proportional to its pressure. at a pressure of 30 pounds per square inch (psi), a gas has a volume of 600 in.³. which function can be used to model the volume of the gas y, in cubic inches, when the pressure is x psi? y = 18,000/x what would the volume of the gas be if the pressure is increased to 40 psi? in.³

Answer

Explanation:

Step1: Identify the inverse - proportion formula

We know that the volume $y$ and pressure $x$ are inversely proportional, and the formula is $y=\frac{k}{x}$, where $k$ is the constant of proportionality. We already found $k = 18000$ from the first - part of the problem ($y = 18000/x$).

Step2: Substitute the new pressure value

We are given $x = 40$ psi, and we use the formula $y=\frac{18000}{x}$. Substitute $x = 40$ into the formula: $y=\frac{18000}{40}$.

Step3: Calculate the volume

$y=\frac{18000}{40}=450$.

Answer:

450