Answer :
Final answer:
The Fahrenheit temperature (F) can be expressed as an exact linear function of the Celsius temperature (C) using the formula: F = (9/5)C + 32. To express C as a function of F, we can rearrange the formula as: C = (5/9)(F - 32). For F = C, the temperature is -40 degrees.
Explanation:
To express Fahrenheit (F) as an exact linear function of Celsius (C), we can use the formula for converting Celsius to Fahrenheit: F = (9/5)C + 32.
To solve for C in terms of F, we can rearrange the formula as: C = (5/9)(F - 32).
Now, let's find the temperature at which F = C:
Setting the two equations equal to each other:
(9/5)C + 32 = C
Subtracting C from both sides:
(9/5)C - C = -32
Combining like terms:
(4/5)C = -32
Multiplying both sides by 5/4:
C = -32 * (5/4)
Simplifying:
C = -40
Therefore, for F = C, the temperature is -40 degrees.
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