In countries like USA and Canada, temperature is measured in Fahrenheit, whereas in countries like India, it is measured in - Maths - Linear Equations in Two Variables

Question

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:

(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

Gopal Mohanty · Accepted Answer

(i)

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

(ii) Temperature = 30°C

Therefore, the temperature in Fahrenheit is 86°F (iii) Temperature = 95°F

Therefore, the temperature in Celsius is 35°C (iv)

If C = 0°C, then

Therefore, if C = 0°C, then F = 32°F If F = 0°F, then

Therefore, if F = 0°F, then C = −17 8°C (v)

Here, F = C

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