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

The correct answer is ) C = 5 over 9(F − 32)

Answer 2

The correct option is 4.

Explanation:

The relationship between the temperature in degrees Celsius, C, and degrees Fahrenheit, F is defined by the given equation.

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

We need to find the formula for C.

Subtract 32 from both the sides.

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

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

Multiply both sides by 5.

`5(F-32)=9C`

Divide both sides by 9.

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

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

The formula for C is
`C=(5)/(9)(F-32)`.

Therefore the correct option is 4.