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Convert the 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 of converting a temperature from degrees Fahrenheit to degrees Celsius using the function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex], we need to understand what the function signifies.

The function [tex]\( C(F) \)[/tex] is a formula that represents the conversion of temperature from Fahrenheit to Celsius. Here's how it works:

1. Identify the purpose of the function: [tex]\( C(F) \)[/tex] is used to convert temperatures measured in Fahrenheit (F) into temperatures measured in Celsius (C).

2. Understand the conversion formula: The formula to convert Fahrenheit to Celsius is given by:
[tex]\[
C(F) = \frac{5}{9}(F - 32)
\][/tex]
This formula states that you subtract 32 from the temperature in Fahrenheit, multiply the result by 5, and then divide by 9 to get the temperature in Celsius.

3. Interpret what [tex]\( C(F) \)[/tex] represents:
- [tex]\( C(F) \)[/tex] represents the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius. This is the primary interpretation for the function, meaning that if you have a temperature measured in Fahrenheit, you can use this formula to convert it into Celsius.

4. Choose the correct conceptual understanding:
- Among the given options, the accurate description of what [tex]\( C(F) \)[/tex] represents is: "the temperature of F degrees Fahrenheit converted to degrees Celsius."

This means that for any given temperature value in Fahrenheit, using the formula will yield the equivalent temperature in Celsius, providing a clear conversion between the two temperature scales.

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