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    Discussing Temperature Conversions

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    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?

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    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.

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