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


C = 5 over 9(F − 32)


Which of the following formulas correctly solves for F?


F = 9 over 5C + 32


F = 9 over 5C − 32


F = 9C + 32 over 5


F = 9C − 32 over 5

Verified Answer :

Tareki

th first answer
F = 9 over 5 C + 32

Answer:

Option 1 - F = 9 over 5C + 32

Step-by-step explanation:

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

C = 5 over 9(F − 32)

To find : Which of the following formulas correctly solves for F?

Solution :

We can write the equation as

 \(C=\frac{5}{9}(F-32)\)

Now, we solve for F,

Multiply both side by 9,

 \(9C=5(F-32)\)

Open the brackets,

 \(9C=5F-160\)

 \(9C+160=5F\)

Divide both side by 5,

 \(\frac{9C+160}{5}=F\)

Solve,

 \(\frac{9}{5}C+32=F\)

So, The value of F is F=9 over 5C +32.

Therefore, Option 1 is correct.