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.

Made by

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.