In countries like the 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 into Celsius, . If the temperature is then what is the temperature in Fahrenheit and if the temperature is . Then what is the temperature in Celsius?

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Detailed Solution

Concept- Here we use the conversion expression given in the question to find the value in both situations. First, replace the temperature in Celsius with zero to find the temperature in Fahrenheit. Then replace the temperature in Fahrenheit with zero to find the temperature in Celsius.
Given linear equation of temperature is

F = (9/5) C + 32
When temperature is 0^oC then

F = (9/5) C + 32

F = 0 + 32

F = 32

32^oF temperature if the temperature is 0^oC. Now if the Temperature is 0^oF, then put F = 0 in the equation.

0 = (9/5) C + 32

-32 = (9/5) C
By multiplying 5/9 on both side

-32 x 5/9 = 9/5 x 5/9 C

C = -160/9

C = 17.7
So, when the temperature is 0^oF, then the temperature is -17.7^oC Hence, the correct answer is option 4)

32^oF, 17.7^oC

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