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------------------------------------------------ For one month, Siera calculated her hometown's average high temperature in degrees Fahrenheit. She wants to convert that temperature from degrees Fahrenheit to degrees Celsius using the function [tex]C(F)=\frac{5}{9}(F-32)[/tex].

What does [tex]C(F)[/tex] represent?

A. The temperature of [tex]F[/tex] degrees Fahrenheit converted to degrees Celsius
B. The temperature of [tex]F[/tex] degrees Celsius converted to degrees Fahrenheit
C. The temperature of [tex]C[/tex] degrees Fahrenheit converted to degrees Celsius
D. The temperature of [tex]C[/tex] degrees Celsius converted to degrees Fahrenheit

Answer :

Sure! Let's go through the solution step-by-step:

1. Understanding the Problem: The problem provides a function, [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex]. This is a mathematical formula used to convert temperatures from degrees Fahrenheit to degrees Celsius.

2. Variables and Function Components:
- [tex]\( F \)[/tex] represents the temperature in degrees Fahrenheit.
- [tex]\( C(F) \)[/tex] represents the resulting temperature in degrees Celsius after conversion.

3. Understanding what [tex]\( C(F) \)[/tex] Represents:
- The function given, [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex], is specifically used for converting temperatures measured in degrees Fahrenheit to degrees Celsius.
- Therefore, [tex]\( C(F) \)[/tex] is the expression that calculates what the equivalent temperature would be in degrees Celsius when starting with a temperature in Fahrenheit.

4. Conclusion: Given the details, [tex]\( C(F) \)[/tex] represents the temperature of [tex]\( F \)[/tex] degrees Fahrenheit after it has been converted to degrees Celsius.

Therefore, the correct interpretation of [tex]\( C(F) \)[/tex] is:
- The temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius.