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# Temperature question!

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$$𝐶=\frac{5}{9}(𝐹−32)$$

The equation above shows how temperature 𝐹, measured in degrees Fahrenheit, relates to a temperature 𝐶, measured in degrees Celsius. Based on the equation, which of the following must be true?

(I) A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of 59 degree Celsius.

(II) A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.

(III) A temperature increase of 59 degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.

A) I only
B) II only
C) III only
D) I and II only

May 23, 2024

### 1+0 Answers

#1
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II   only

To see why....let C inctrases by 1 and F increase by 1.8 = 9/5

C + 1  =  (5/9) ( F + 1.8 - 32)

C + 1 = (5/9) ( F + 9/5  - 32)         distribute 9/5

C + 1  = (5/9) ( F)  + (5/9)(9/5) - (5/9)(32)

C + 1 = (5/9) ( F - 32)  + 1            subtract 1 form both sides

C = (5/9) (F -32)       which is our original equation

May 23, 2024