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 length of forehand of a person if the height is 53.3 inches

Answer 1

When the height is 53.3 inches, the forehand length is 32 cm

y = 0.9x + 24.5

53.3 = 0.9x + 24.5

53.3 – 24.5 = 0.9x

28.8 = 0.9x

x = `28.8/0.9`

x = 32 cm