In countries like USA and Canada, temperature is measured in Fahrenheit, whereas in countries like India, it is measured in Celsius.

Question 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.
(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:
(i) F= 9/5 C + 32
It can be observed that points (0, 32) and (−40, −40) satisfy the given equation.
Therefore, these points are the solutions of this equation.
The graph of the above equation is constructed as follows.

Yes, there is a temperature, −40°, which is numerically the same in both Fahrenheit

and Celsius.