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Ex 9.2, 15 The length L (in centimetre) of a copper rod is a linear function of its Celsius temperature C. In an experiment, if L = 124.942 when C = 20 and L = 125.134 when C = 110, express L in terms of C. Assuming C is along x-axis & L is along y-axis (x, y) = (C, L) So, we are given two points (20, 124.942) and (110, 125.134) So, from two point form y − y1 =(𝑦_2 − 𝑦_1)/(𝑥_2 − 𝑥_1 ) (x − x1) L − 124.942 = (125.134 − 124.942)/(110 − 20) (C − 20) L − 124.942 = (125.134 − 124.942)/(110 − 20) (C − 20) L − 124.942 = 0.192/90 (C − 20) L = (𝟎.𝟏𝟗𝟐)/𝟗𝟎 (C − 20) + 124.942

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.