9
QuizMultiple Choice

Joint and Combined Variation — Quiz

Question 9 • Mathematics III

When y is 4 , p is 0 point 5 , and m is 2 , x is 2 If x varies directly with the product of p and m and inversely with y , which equation models the situation?

Answer
A
x y over pm is equal to 8
B
x over pm y is equal to 0 point 5
C
x pm y is equal to 8
D
x pm over y is equal to 0 point 5

Explanation

Since x varies directly with the product pm and inversely with y, write x = k(pm/y), where k is a constant. Substituting x = 2, p = 0.5, m = 2, and y = 4 gives k = xy/(pm) = (2 × 4)/(0.5 × 2) = 8, so the equation is xy/pm = 8, choice A.

AI-written and checked against the verified answer.

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