If degrees Celsius is calculated from Fahrenheit using C = 5/9 (F - 32), what is the formula to convert back to Fahrenheit?

To convert from degrees Celsius back to degrees Fahrenheit, it is essential to rearrange the original formula used for conversion from Fahrenheit to Celsius, which is C = 5/9 (F - 32). Starting from this equation, we need to isolate F to find its relationship with C.

First, let's multiply both sides of the original equation by 9 to eliminate the fraction:

9C = 5(F - 32)

Next, distribute the 5 on the right side:

9C = 5F - 160

Now, to solve for F, add 160 to both sides:

9C + 160 = 5F

Finally, divide every term by 5 to isolate F:

F = (9/5)C + 32

This results in the correct formula for converting Celsius to Fahrenheit, which is why the answer is correctly identified as C. This conversion allows one to switch between temperature scales effectively, which is important in various engineering and scientific applications.