Question

The equation below shows the relationship between the temperature in degrees Celsius, C, and degrees Fahrenheit, F.

F = 9 over 5C + 32

Which of the following formulas correctly solves for C?

C = 5F - 32 over 9

C = 5 F over 9 - 32

C = 9 over 5(F – 32)

C = 5 over 9(F – 32)

Answer 1

F = 9/5C + 32...subtract 32 from both sides
F - 32 = 9/5C...multiply both sides by 5/9, eliminating the 9/5 on right
5/9(F - 32) = C <==

Answer 2

C = 5 over 9(F – 32)

Explanation:

The formula is
`F=((9)/(5)C)+32`

We can do some algebra to solve for C (note the steps below):

`F=((9)/(5)C)+32\\F=((9C)/(5))+32\\F-32=(9)/(5)C\\C=(F-32)/((9)/(5))\\C=(5)/(9)(F-32)`

Last answer choice is right.