AnswersINMT3 Integrated Math 3 Sem 1 26-27Modeling with Rational FunctionsQuestion 10
10
AssignmentDropdown

Modeling with Rational Functions

Question 10 • [INMT3] Integrated Math 3 Sem 1 (26-27)

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.”

AI-written and checked against the verified answer.

Previous
Next

More from this Course

Assignment
20 verified answers

Modeling with Rational Functions

Assignment
20 verified answers

Assignment

Assignment
20 verified answers

Modeling with Rational Functions