Which statement is true of L concerning its relationship to s?

L varies directly as A and inversely as V; A = 6s2 and V = s3. Assuming that no other variables affect L, which statement is true of L concerning its relationship to s?
A. L varies inversely as the fifth power of s.
B. None of the other statements are correct.
C. L varies inversely as s.
D. L varies directly as s.
E. L varies directly as the fifth power of s.

Correct Answer: C
Explanation/Reference:
Explanation:
L varies directly as A and inversely as V, meaning that for some constant of variation K,

Setting A = 6s2 and V = s3, the formula becomes


Ls = 6K Setting K’ = 6K as the new constant of variation, the variation equation becomes Ls = K’,so L varies inversely as s.

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