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Question -

In countries like USA and Canada, temperature is measured inFahrenheit, whereas in countries like India, it is measured in Celsius. Here isa linear equation that converts Fahrenheit to Celsius:

(i) Draw the graph of the linear equation above using Celsius for x-axisand 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 Fahrenheitand if the temperature is 0°F, what is the temperature in Celsius?

(v) Is there a temperature which is numerically the same in bothFahrenheit and Celsius? If yes, find it.



Answer -

(i) 

It can be observed that points (0, 32) and (−40, −40) satisfy the givenequation. 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 inboth Fahrenheit and Celsius.

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