Formula

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Formula

by grandh01 » Wed Aug 08, 2012 4:15 pm
In a certain formula, p is directly
proportional to s and inversely
proportional to r. If p =1 when r = 0.5
and s = 2, what is the value of p in
terms of r, and s?
A)s/r
(B) r/4s
c) s/4r
d) r/s
e) 4r/s
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by GMATGuruNY » Wed Aug 08, 2012 6:13 pm
grandh01 wrote:In a certain formula, p is directly
proportional to s and inversely
proportional to r. If p =1 when r = 0.5
and s = 2, what is the value of p in
terms of r, and s?
A)s/r
(B) r/4s
c) s/4r
d) r/s
e) 4r/s
p is directly proportional to s and inversely proportional to r.
In math terms:
p = k(s/r), where k is a constant.
Since p=1 when s=2 and r=.5, we get:
1 = k(2/.5)
k = .5/2 = 5/20 = 1/4.
Thus, p = (1/4)(s/r) = s/4r.

The correct answer is C.
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