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?

• 48
  
  s= ar+b
  30= 6a+b
  60= 24a+b
  
  solving it, we get
  a=5/3, b= 20
  when s= 100
  
  s= ar+b
  100= r*5/3 +20
  r= 80*3/5 =48
• 12 years agoHelpfull: Yes(4) No(0)
• since it is linear consider points (6,30),(24,60) & (x,100)
  eq:- of line y-30 / x-6 = 60-30 / 24-6
  5/3 = y-30 / x-6
  as y==100
  therefore x= 48 (ans.)
• 12 years agoHelpfull: Yes(3) No(0)