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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
Solution
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
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