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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