Question

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

F = 9 over 5 C + 32

Which of the following formulas correctly solves for C?
A) C = 5F − 32 over 9
B) C = 5 F over 9 − 32
C) C = 9 over 5 (F − 32)
D) C = 5 over 9 (F − 32)

Answer 1

it is the last option C=5/9(F-32)

Answer 2

option (D) is correct.

formula that solves for C is
`C=(5(F-32))/(9)`

Explanation:

Given : the relationship between the temperature in degrees Celsius, C, and degrees Fahrenheit, F as ,
`F=(9)/(5)C+32`

We have to find the correct formula that solve for C,

Consider the given formula,

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

We have to find formula for C,

Thus, first subtract 32 both side, we get,

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

Now, multiply 5 both side, we get,

`5(F-32)={9}C`

Now , divide both side by 9, we get,

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

Thus, formula that solves for C is
`C=(5(F-32))/(9)`

Thus, option (D) is correct.