Question

The data in the adjacent table depicts the length of a person's forehand and their corresponding height. Based on this data, a student finds a relationship between the height (y) and the forehand length (x) as y = ax + b, where a, b are constant.

Length ‘x’ of forehand (in cm)	Height 'y'  (in inches)
35	56
45	65
50	69.5
55	74

Find the height of a person whose forehand length is 40 cm

Answer 1

The relation is y = 0.9x + 24.5

When the forehand length is 40 cm, then height is 60.5 inches.

y = 0.9x + 24.5

= 0.9 × 40 + 24.5

= 36 + 24.5

= 60.5 feet