Acertain 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 36 correspond to measurements on the s-scale of 30 and 80, 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

48. C

Step-by-step explanation:

Since they are related linearly, they follow the relation :

y = mx + c

Hence, let the measurement on the r scale be x and the measurement on the s scale be y.

Now,let's substitute these values in the straight line equation.

For the first measurement, 6 corresponds to 36. Inserting this in the equation:

36 = 6m + c (i)

For the second measurement, 36 corresponds to 80.

80 = 36m + c (ii)

Solving both simultaneously:

We get m = 10/6 and c = 20

Now, a measurement of what on the r scale corresponds to 100 on the s scale.

100 = 10/6(m) + 20

Solving this gives 48.

step-by-step explanation: