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Chapter 19 - 19.108

108. We assume scales X and Y are linearly related in the sense that reading is x is related to reading y

by a linear relationship y = mx + b . We determine the constants m and b by solving the simultaneous

equations:

70 . 00 = m (

−

125 . 0) + b

30 . 00 = m (375 . 0) + b

which yield the solutions m =40 . 00 / 500 . 0=8 . 000

10 − 2 and b =

−

60 . 00. With these values, we ﬁnd

x for y =50 . 00:

x = y

−

= 50 . 00 + 60 . 00

0 . 08000

= 1375 ◦ X.

−