10
QuizMultiple Choice

Modeling with Rational Functions — Quiz

Question 10 • Mathematics III

For a fixed amount of gas at a constant temperature, the volume of the gas is inversely proportional to its pressure. The function cap v is equal to the fraction with numerator 18 comma 000 and denominator cap p relates the volume in cubic inches and pressure in pounds per square inch of a gas. What is the volume when the pressure is 900 pounds per square inch?

Answer
A
200 in. cubed
B
0 point 5 in. cubed
C
0 point 0 5 in. cubed
D
20 in. cubed

Explanation

Use the given relationship v = 18,000/p and substitute p = 900. Then v = 18,000 ÷ 900 = 20 cubic inches. The correct choice is 20 in. cubed.

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