The linear relationship between the Fahrenheit scale and Centigrade scale for temperatures is given by $$F = \dfrac{9}{5} C+32$$. Which of the following statements, if any, are true?
A. $$68\degree$$ F corresponds to $$20\degree$$ C.
B. $$40\degree$$ C corresponds to $$78\degree$$ F

Question

The linear relationship between the Fahrenheit scale and Centigrade scale for temperatures is given by $$F = \dfrac{9}{5}  C+32$$. Which of the following statements, if any, are true?
A. $$68\degree$$   F corresponds to $$20\degree$$  C. 
B. $$40\degree$$   C corresponds to $$78\degree$$   F

Uniteasy Admin · Accepted Answer

Using the formula $$F = \dfrac{9}{5}  C+32$$ to convert Centigrade scale to Fahrenheit scale. If Centigrade scale is $$20\degree$$ C, Fahrenheit scale is
$$F = \dfrac{9}{5}\cdot 20+32 =    36+32 = 68\degree  $$ F
which shows A is correct  $$68\degree$$   F corresponds to $$20\degree$$  C. 
If Centigrade scale is $$40\degree$$ C, Fahrenheit scale is
$$F = \dfrac{9}{5}\cdot 40+32 =   72+32 = 104\degree  $$ F
which shows B is not correct. 
Therefore only A is correct

Multiple Choice Question (MCQ)

Answer