16
AssignmentMultiple Choice

Joint and Combined Variation

Question 16 • EAP-Algebra Functions and Data Analysis B CR

Z varies directly with x and inversely with y. What happens to Z when both x and y are doubled?

Answer
A
z stays the same.
B
z is halved.
C
z doubles.
D
z is squared.

Explanation

Since Z varies directly with x and inversely with y, we can write Z = kx/y, where k is a constant. Doubling both variables gives Z = k(2x)/(2y) = kx/y, so Z stays the same. The correct choice is “z stays the same.”

AI-written and checked against the verified answer.

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