# Relations Versus Functions and an Application : Formula that Converts Temperature from Degrees Celsius to Degrees Fahrenheit

In the real world, what might be a situation where it is preferable for the data to form a relation but not a function?

There is a formula that converts temperature in degrees Celsius to temperature in degrees Fahrenheit. You are given the following data points:

Fahrenheit Celsius

Freezing point of water 32 0

Boiling point of water 212 100

Find the linear equation that expresses temperature in degrees Fahrenheit as a function of temperature in degrees Celsius.

Find the linear equation that expresses temperature in degrees Celsius as a function of temperature in degrees Fahrenheit.

How do the graphs of these two functions differ?

Do not just list the functions. You must show all of the steps you used to derive the functions.

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#### Solution Summary

Relations versus functions is discussed. An application of this that converts temperature from degrees celsius to degrees fahrenheit is also discussed. The solution is detailed and well presented. The response received a rating of "5" from the student who originally posted the question.