Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 10th

# 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 - Mathematics

Sum

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

Concept: Functions
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#### APPEARS IN

Samacheer Kalvi Mathematics Class 10 SSLC Tamil Nadu State Board
Chapter 1 Relations and Functions
Exercise 1.3 | Q 10. (iv) | Page 15