Question

In countries like the 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 \[F = \left( {\dfrac{9}{5}} \right){\rm{C}} + 32\], If the temperature is \[30\;^\circ {\rm{C}}\], what is the temperature in Fahrenheit?
A.68
B.50
C.86
D.-68

Answer 1

Hint: The temperature is the rise or fall of the heat or coolness in the atmosphere, it is different in different places, as the USA and Australia are cool places, it always maintains a less temperature and India is not as same as the USA and Australia. Temperature is measured in different ways, as the question mentioned that Fahrenheit is used by the USA and Canada and Celsius is used by India but the meaning of the temperature and result will not be changed except the number. There will be a standard equation to convert the Celsius to the Fahrenheit and Fahrenheit to the Celsius.

Complete step-by-step answer:
Temperature is measured in different ways, as the question mentioned that Fahrenheit is used by the USA and Canada and Celsius is used by India but the meaning of the temperature and result will not be changed except the number. There will be a standard equation to convert the Celsius to the Fahrenheit and Fahrenheit to the Celsius.

Given:
The temperature in the Celsius is \[T = 30\;^\circ {\rm{C}}\].
We know that the linear equation that used to convert the Fahrenheit to the Celsius is,
\[F = \left( {\dfrac{9}{5}} \right){\rm{C}} + 32\]

Now, on putting the values in the above equations to convert the Celsius to Fahrenheit, then we get,
\[\begin{array}{c}
F = \left( {\dfrac{9}{5}} \right){\rm{C}} + 32\\
 = \left( {\dfrac{9}{5}} \right) \times 30\;^\circ {\rm{C}} + 32\\
 = 54 + 32\\
 = 86\;{\rm{F}}
\end{array}\]
Therefore, $ 86\;{\rm{F}} $ will be the Fahrenheit value of \[30\;^\circ {\rm{C}}\] that means the option (c) is correct.
So, the correct answer is “Option C”.

Note: Make sure about the conversion, if you want to convert the Celsius to Fahrenheit, then the Fahrenheit F should be in the left side of the equals to, and if you want to convert the Fahrenheit into Celsius, then the Celsius C should be in the left side direction, and the values that substituting should be related to the variab