Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 10th
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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 height of a person whose forehand length is 40 cm

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Solution

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

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. (iii) | Page 15
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