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In a certain formula, p is directly proportional to s and

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In a certain formula, p is directly proportional to s and  [#permalink]

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New post 16 Jul 2009, 03:00
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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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Re: In a certain formula, p is directly proportional to s and  [#permalink]

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New post 17 Jul 2014, 08:09
joyseychow 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


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Re: VIC  [#permalink]

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New post 16 Jul 2009, 03:19
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1
P is directly proportional to s means => p = x times s (as s increases p increases, x is constant)
P is inversely proportional to r means => p = y divided by r (as r increases p decreases, y is constant)
So we can say
p= z times s divided by r (z is a constant different from x and y)
When p=1, s =2 and r=0,5
So 1= z*2/0,5
z= 1/4
So p = 1/4*s/r=s/4r

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Re: VIC  [#permalink]

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New post 16 Jul 2009, 15:55
1
Quote:
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
p is inversely proportional to r

p=s/r
1= x*2 / 0.5
1=x * 4
Therefore x = 1/4

Hence p=s/4r
The OA is C
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In a certain formula, p is directly proportional to s and  [#permalink]

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New post 26 Apr 2015, 11:43
1
P is directly proportional to s means => p = x times s (as s increases p increases, x is constant)
P is inversely proportional to r means => p = y divided by r (as r increases p decreases, y is constant)
So we can say
p= z times s divided by r (z is a constant different from x and y)
When p=1, s =2 and r=0,5
So 1= z*2/0,5
z= 1/4
So p = 1/4*s/r=s/4r

In the below stated question the direct proportional and inverse proportional are combined. Because there is written the word "AND" How does this differ from this question? In other word; Why is the "Z" there in this question?

[color=#a0a0a0]If the price of a commodity is directly proportional to m^3 and inversely proportional to q^2, which of the following values of m and q will result in the highest price for the commodity?



Thanks in advance for reply![/color]
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Re: In a certain formula, p is directly proportional to s and  [#permalink]

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Re: In a certain formula, p is directly proportional to s and   [#permalink] 02 Mar 2018, 16:21
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