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# There are two different scales, the X-scale and the Y-scale; they are

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Math Expert
Joined: 02 Sep 2009
Posts: 58428
There are two different scales, the X-scale and the Y-scale; they are  [#permalink]

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27 Sep 2018, 05:24
00:00

Difficulty:

75% (hard)

Question Stats:

42% (02:07) correct 58% (02:11) wrong based on 30 sessions

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There are two different scales, the X-scale and the Y-scale; they are are related linearly. Measures on the X-scale of 10 and 30 correspond to measurements on the Y-scale of 30 and 60, respectively. What measure on the X-scale corresponds to a measure of 90 on the Y-scale?

(A) 20
(B) 40
(C) 50
(D) 60
(E) 70

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Re: There are two different scales, the X-scale and the Y-scale; they are  [#permalink]

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27 Sep 2018, 06:01
Bunuel wrote:
There are two different scales, the X-scale and the Y-scale; they are are related linearly. Measures on the X-scale of 10 and 30 correspond to measurements on the Y-scale of 30 and 60, respectively. What measure on the X-scale corresponds to a measure of 90 on the Y-scale?

(A) 20
(B) 40
(C) 50
(D) 60
(E) 70

Y = k*X+c
30 = k*10+c
60 = k*30+c

Solving two equations we get,
k = 3/2 and c = 15

i.e. equation becomes
Y = (3/2)*X+15

@Y = 90, 90 = (3/2)*X+15
X = 50

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Re: There are two different scales, the X-scale and the Y-scale; they are   [#permalink] 27 Sep 2018, 06:01
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