# Discussing Temperature Conversions

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

Questions:

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?

https://brainmass.com/math/synthetic-geometry/discussing-temperature-conversions-75341

#### Solution Preview

Let call degrees Fahrenheit F and degrees Celsius C

We assume that F is a linear function of C, hence it has the form F=a*C + b

Substitute the above temperatures into this equation:

At the freezing point: 32 = a*0 + b ...

#### Solution Summary

This solution provides detailed explanations and calculations in relation to the concept of conversion from Celsius to temperatures in Fahrenheit and vice versa. All calculations are provided.