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? Pick:
A) 20	B) 36	C) 48	D) 60	E) 84
Question says they are both related linearly so they the relationships can be represented by standard linear definition y=mx+b.   Let S scale = y. and R scale = x.   30=6m+b EQN1   60=24m+b EQN2   EQN2-EQN1 =&gt; 30=18m =&gt; m=5/3   Solving for b using either equation gives us b=20   linear relationship is represented by y=(5/3)x+20   Solve for 100:   100=5/3x+20   80=5/3x   x=48   ANS = 48
<result>C</result>
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?