4
ALMultiple Choice

Direct, Inverse, and Joint Variation

Question 4 • IASD Precalculus 2nd Quarter - Wingerter 2025-26

For the inverse variation function y = k/x (where x, k > 0), what happens to the value of y as the value of x increases?

Answer
A
increases
B
decreases
C
increases then decreases
D
decreases then increases

Explanation

Since k is a positive constant, y = k/x gets smaller as the positive value of x gets larger. For example, increasing x from 2 to 4 changes y from k/2 to k/4, which is smaller. Therefore, y decreases; the correct choice is “decreases.”

AI-written and checked against the verified answer.

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