Answers OC27 MATH COLL ALGEBRA-1200710-S1-Degele-VOL7006P Modeling with Rational FunctionsQuestion 9

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Modeling with Rational Functions

Question 9 • (OC27) MATH COLL ALGEBRA-1200710-S1-Degele-VOL7006P

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?

Answer

A

y = 20x

B

y = 18,000x

C

y =20/x

D

y =18,000/x

Explanation

Because volume is inversely proportional to pressure, the model has the form y = k/x. Using the given values, k = xy = 30 × 600 = 18,000, so the function is y = 18,000/x. This is choice D, “y = 18,000/x.”

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