14
AssignmentMultiple Choice

Joint and Combined Variation

Question 14 • EAP-Algebra Functions and Data Analysis B CR

W varies jointly with x, y, and z. What happens to W when x, y, and z are each doubled?

Answer
A
W is halved.
B
W is doubled.
C
W is quadrupled.
D
W is multiplied by 8.

Explanation

Joint variation means W = kxyz for some constant k. Doubling each variable gives W' = k(2x)(2y)(2z) = 8kxyz = 8W. Therefore, W is multiplied by 8, which is choice D.

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