# SAT Direct and Inverse Variation

Algebra Level 1

$$a$$ varies directly with $$b$$.
$$b$$ varies indirectly with $$c$$.

If the above statements are true for nonzero $$a, b,$$ and $$c$$, which of the following statements must be true?

(A) $$\ \ a$$ varies directly with $$c$$ and $$c$$ varies directly with $$a$$.
(B) $$\ \ a$$ varies directly with $$c$$ and $$c$$ varies indirectly with $$a$$.
(C) $$\ \ a$$ varies indirectly with $$c$$ and $$c$$ varies directly with $$a$$.
(D) $$\ \ a$$ varies indirectly with $$c$$ and $$c$$ varies indirectly with $$a$$.
(E) $$\ \$$ None of the above.

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