Multiple Choice Question (MCQ)

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

  1. Only A

  2. ×

    Only B

  3. ×

    Both A and B

  4. ×

    Neither A and B

Collected in the board: Linear Equations

Steven Zheng posted 7 hours ago

Answer

  1. 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

Steven Zheng posted 6 hours ago

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