8
QuizMultiple Choice

Joint and Combined Variation — Quiz

Question 8 • Mathematics III

When A is equal to 6 and b is equal to 22 , c is equal to 33 If c varies directly with b and inversely with A , which equation models the situation?

Answer
A
c b over A is equal to 121
B
c over A b is equal to 1 fourth
C
c A over b is equal to 9
D
c times A b is equal to 4356

Explanation

If c varies directly with b and inversely with A, then c = k(b/A), where k is the constant of variation. Substitute A = 6, b = 22, and c = 33: k = cA/b = (33 × 6)/22 = 9. Thus the model is cA/b = 9, which is choice C.

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