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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 :

To solve the problem and understand what [tex]\( C(F) \)[/tex] represents, let's break down the components:

1. Understanding the Function:
The function [tex]\( C(F) = \frac{5}{9}(F-32) \)[/tex] is used to convert temperatures from degrees Fahrenheit (F) to degrees Celsius (C).

2. What C(F) Represents:
- The function takes a temperature value in degrees Fahrenheit as input, represented by [tex]\( F \)[/tex].
- It applies the conversion formula to that value.
- The result, [tex]\( C(F) \)[/tex], provides the equivalent temperature in degrees Celsius.

3. Choosing the Correct Option:
From the options given:

- Option 1: The temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius.
- Option 2: The temperature of [tex]\( F \)[/tex] degrees Celsius converted to degrees Fahrenheit.
- Option 3: The temperature of [tex]\( C \)[/tex] degrees Fahrenheit converted to degrees Celsius.
- Option 4: The temperature of [tex]\( C \)[/tex] degrees Celsius converted to degrees Fahrenheit.

Given that the function converts a Fahrenheit temperature to Celsius, option 1 is the correct choice.

In conclusion, [tex]\( C(F) \)[/tex] represents the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius.

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