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.
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