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18 Oct 2006, 12:12
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A certain quantity is measured on two different scales, the R-scale and the S-scale, that are related linearly. Measurements on the R-scale of 6 and 24 correspond to measurements on the S-scale of 30 and 60, respectively. What measurement on the R-scale corresponds to a measurement of 100 on the S-scale?
A. 20
B. 36
C. 48
D. 60
E. 84
A. 20
B. 36
C. 48
D. 60
E. 84
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18 Oct 2006, 12:28
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Hi giri,
A linear relation is of type y=mx+c subsituting given values for R scale as x and corresponding S scale values as y we get 2 equations as below
30= 6m+c
60=24m+c
Solving both simultaneously we get m=5/3 and c=20
then we need to find the value of x when y=100
100=5/3x+20
5/3x=80
x=80*3/5=48
Thus the answer is C
cheers
Yogesh
A linear relation is of type y=mx+c subsituting given values for R scale as x and corresponding S scale values as y we get 2 equations as below
30= 6m+c
60=24m+c
Solving both simultaneously we get m=5/3 and c=20
then we need to find the value of x when y=100
100=5/3x+20
5/3x=80
x=80*3/5=48
Thus the answer is C
cheers
Yogesh
18 Oct 2006, 19:12
Kudos
Bookmarks
yogeshsheth
Nice explanation. Thanks Yogesh! This one had me in knots.
