In countries like USA and Canada, temperature is measured in Fahrenheit, whereas in countries like India, it is measured in Celsius.
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 xaxis and Fahrenheit for yaxis.
(ii) If the temperature is 30°C, what is the temperature in Fahrenheit?
(iii) If the temperature is 95°F, what is the temperature in Celsius?
(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?
(v) Is there a temperature which is numerically the same in both Fahrenheit and Celsius? If yes, find it.
(i) According to the question,
F = (9/5)C + 32
Solving the equation,
We get,
When C = 0, F = 32
When C = 10 , F = 14
The points to be plotted are (0, 32), (10, 14)
(ii) When C = 30,
F = (9/5)C +32
F = (9×30)/5+32
= (9×6)+32
= 54+32
= 86^{o}F
(iii) When F = 95,
95 = (9/5)C +32
(9/5)C = 9532
(9/5)C =63
C = (63×5)/9
=35^{o}C
(iv) When C = 0,
F = (9/5)C +32
F = (9×0)/5 +32
=0+32
=32^{o}F
When F = 0,
0 = (9/5)C+32
(9/5)C = 032
(9/5)C = 32
C = (32×5)/9
=17.7777
=17.8^{o}C
(v) When F = C,
C = (9/5)C+32
C – (9/5)C = 32
(59)C/5 =32
(4/5)C = 32
(4/5)C = (32×5)/4
= – 40^{o}C
Hence, 40^{o} is the temperature which is numerically the same in both Fahrenheit and Celsius.

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