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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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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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 ...
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