# Relations Versus Functions : Real-Life Application and Celsius-Fahrenheit Temperature Conversion

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

2. 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

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

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

C. 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

Real-life applications of relations and functions are discussed. Celsius-Fahrenheit temperature conversion is investigated. The solution is detailed and well presented.