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Answer :
Final answer:
Degrees Celsius can be represented as a linear function of degrees Fahrenheit using the formula °C = 5/9 * (°F - 32). This formula is derived from the relationship between the two temperature scales, where we know the freezing and boiling points of water in both scales.
Explanation:
To represent degrees Celsius as a linear function of degrees Fahrenheit, we use the relationship between these two temperature scales. We know that water freezes at 0 °C and 32 °F, and water boils at 100 °C and 212 °F. The difference between the freezing and boiling points of water is 100 degrees in Celsius and 180 degrees in Fahrenheit, which gives us a conversion rate of 5/9 or 0.555.
From the above information, the formula to convert Fahrenheit to Celsius would be °C = 5/9 * (°F - 32).
This function tells us that for every increase of 1 degree Fahrenheit, the equivalent increase in Celsius would be 5/9th of a degree. Additionally, the conversion between freezing points of Fahrenheit and Celsius scales (32 degrees) is accounted for in the function by subtracting 32 from Fahrenheit before multiplying by the conversion rate.
Learn more about Temperature Conversion here:
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