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 complete what would the volume of the gas be if the pressure is increased to 40 psi? in.³ done

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 complete what would the volume of the gas be if the pressure is increased to 40 psi? in.³ done

Answer

Answer:

450

Explanation:

Step1: Identify the inverse - proportion formula

Since $y=\frac{k}{x}$ and when $x = 30$, $y=600$, we find $k$. $k=xy=30\times600 = 18000$.

Step2: Substitute new pressure value

We want to find $y$ when $x = 40$. Using $y=\frac{18000}{x}$, substitute $x = 40$. $y=\frac{18000}{40}=450$.