10
QuizMultiple Choice

Mathematical Modeling: Part Three — Test

Question 10 • Mathematics III

The quantity q varies inversely with the square of m and directly with the product of r and x When m is 4 and the product of r and x is 8 , q is 2 point 5 What is the constant of variation?

Answer
A
5 fourths
B
5
C
10
D
5 eighths

Explanation

Since q varies directly with the product rx and inversely with m², write q = k(rx)/m², where k is the constant of variation. Substitute q = 2.5, rx = 8, and m = 4: 2.5 = 8k/16, so k = 5. The constant of variation is 5, choice B.

AI-written and checked against the verified answer.

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