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Ex 4.3, 8 - In countries like USA & Canada, temperature - Ex 4.3

  1. Chapter 4 Class 9 Linear Equations in Two Variables
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Ex 4.3, 8 In countries like USA and Canada, temperature is measured in Fahrenheit, whereas in countries like India, it is measured in Celsius. Here is a linear equation that converts Fahrenheit to Celsius : F = (9/5) C + 32 . (i) Draw the graph of the linear equation above using Celsius for x-axis and Fahrenheit for y-axis. We need to graph of F = (9/5) C + 32 Finding solution Plotting points Ex 4.3, 8 In countries like USA and Canada, temperature is measured in Fahrenheit, whereas in countries like India, it is measured in Celsius. Here is a linear equation that converts Fahrenheit to Celsius: F = (9/5) C + 32 (ii) If the temperature is 30°C, what is the temperature in Fahrenheit? F = (9/5) C + 32 Putting C = 30° F = (9/5) 30 + 32 = 9 (6) + 32 = 54 + 32 = 86 Therefore, the temperature in Fahrenheit is 86°F. Ex 4.3, 8 In countries like USA and Canada, temperature is measured in Fahrenheit, whereas in countries like India, it is measured in Celsius. Here is a linear equation that converts Fahrenheit to Celsius: F = (9/5) C + 32 (iii) If the temperature is 95°F, what is the temperature in Celsius? F = (9/5) C + 32 Putting F = 95 95 = (9/5) C + 32 95 – 32 = (9/5) C 63 = (9/5) C C = (5/9) 63 C = 35 Therefore, the temperature in Celsius is 35°C. Ex 4.3, 8 In countries like USA and Canada, temperature is measured in Fahrenheit, whereas in countries like India, it is measured in Celsius. Here is a linear equation that converts Fahrenheit to Celsius: F = (9/5) C + 32 (iv) If the temperature is 0°C, what is the temperature in Fahrenheit and if the temperature is 0°F, what is the temperature in Celsius? Ex 4.3, 8 In countries like USA and Canada, temperature is measured in Fahrenheit, whereas in countries like India, it is measured in Celsius. Here is a linear equation that converts Fahrenheit to Celsius: F = (9/5) C + 32 (v) Is there a temperature which is numerically the same in both Fahrenheit and Celsius? If yes, find it. F = (9/5) C + 32 Putting C = F F = (9/5) F + 32 "F"−(9/5)" F "= 32 (1−9/5) F = 32 ((5 − 9)/5) F = 32 ((−4)/5)F = 32 F = (5/(−4)) × 32 F = – 5 × 8 = − 40 At temperature −40°, which is numerically the same in both Fahrenheit and Celsius.

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