Question

In countries like USA and Canada, the 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 = (\(\frac{9}{5}\))C + 32. 

(i) Draw the graph of the linear equation above using Celsius for x-axis and Fahrenheit for the y-axis. 

(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.

Answer 1

Let Temperature be Celsius C, 

Temperature be Fahrenheit F. 

F = (\(\frac{9}{5}\))C + 32

C	10	30	0	35
F	50	86	32	95

In the x-axis Celsius,
In the y-axis Fahrenheit.
(i) Graph

(ii) If temperature is 30° C, then 86° F. 

(iii) If temperature is 95° F, then 35° C. 

(iv) If temperature is 0° C, then 32° F.

 If 0°F, then -32°C 

(v) Temperature is not equal in Celsius and Fahrenheit. because C ≠ F