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09 Jan 2010, 14:04
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Difficulty:
55%
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Question Stats:
64% (01:59) correct
36%
(01:59)
wrong
based on 601
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a is directly proportional to b. When a = 8, b = 6.
c is inversely proportional to b. When c = –12, b = –3.
If a = 12, what is the value of c?
A. -4
B. 0
C. 4
D. 12
E. 36
c is inversely proportional to b. When c = –12, b = –3.
If a = 12, what is the value of c?
A. -4
B. 0
C. 4
D. 12
E. 36
Isn't C =36?
09 Jan 2010, 15:00
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\(a\) is directly proportional to \(b\) --> \(a=kb\) --> \(a=8\), \(b=6\) --> \(8=6k\) --> \(k=\frac{4}{3}\);
\(c\) is inversely proportional to \(b\) --> \(c=\frac{n}{b}\) --> \(c=-12\), \(b =-3\) --> \(-12=\frac{n}{-3}\) --> \(n=36\);
\(a=12\) --> \(b=\frac{a}{k}=\frac{12}{\frac{4}{3}}=9\) --> \(c=\frac{n}{b}=\frac{36}{9}=4\).
\(c\) is inversely proportional to \(b\) --> \(c=\frac{n}{b}\) --> \(c=-12\), \(b =-3\) --> \(-12=\frac{n}{-3}\) --> \(n=36\);
\(a=12\) --> \(b=\frac{a}{k}=\frac{12}{\frac{4}{3}}=9\) --> \(c=\frac{n}{b}=\frac{36}{9}=4\).
General Discussion
11 Jan 2010, 09:04
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Thanks for the explanation. Correct answer is 4.
