Question

Find the correct relationship between the Celsius and Fahrenheit scales of temperatures.
A. $ \dfrac{C}{5} = \dfrac{{F - 32}}{9} $
B. $ \dfrac{C}{4} = \dfrac{{F - 32}}{9} $
C. $ \dfrac{C}{5} = \dfrac{{F - 28}}{9} $
D. $ \dfrac{C}{4} = \dfrac{{F - 42}}{9} $

Answer 1

Hint: The Celsius scale is also known as the centigrade scale is the temperature scale which is based on the freezing point of water is at $ 0^\circ C $ and the boiling point of water is at $ 100^\circ C $ whereas, Fahrenheit scale is a temperature scale which is based on the freezing point of water at $ 32^\circ F $ and the boiling point of water at $ 212^\circ F $ . Use the standard relation between the Celsius and Fahrenheit $ F = \dfrac{{9C}}{5} + 32 $ and modify the equation as per the given multiple choices and find the correct equivalent correlation.

Complete step-by-step answer:
The standard relation between the Celsius and Fahrenheit temperature can be expressed as -
 $ F = \dfrac{{9C}}{5} + 32 $
Simplify the above equation and make the subject “C” as per the given multiple choices.
When the term changes its side, it also changes its sign. Positive changes to negative and negative changes to positive.
 $ F - 32 = \dfrac{{9C}}{5} $
When the number multiplicative with the variable moves its side, it goes to the division on the opposite side and vice-versa.
  $
 \dfrac{{F - 32}}{9} = \dfrac{C}{5} \\
 \Rightarrow \dfrac{C}{5} = \dfrac{{F - 32}}{9} \;
  $
So, the correct answer is “Option A”.

Note: Remember the basic equation relating the Celsius and Fahrenheit temperatures. Since, the answer depends on it only.
 The Celsius scale was introduced in $ 1742 $ A.D. by the Swedish astronomer Anders Celsius. In this scale $ 0^\circ C $ is considered as the lowest point of temperature and $ 100^\circ C $ is the highest point of temperature. The Fahrenheit scale was introduced in $ 1720{\text{ A}}{\text{.D}}{\text{.}} $ by the physicist Daniel Gabriel Fahrenheit. In this scale $ 32^\circ F $ is considered as the lowest point of temperature and $ 212^\circ F $ is considered as the highest temperature.