High School

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. [tex]C(F)[/tex] represents the output of the function [tex]C[/tex] in degrees Celsius when the input [tex]F[/tex] is in degrees Fahrenheit.

B. [tex]C(F)[/tex] represents the output of the function [tex]F[/tex] in degrees Fahrenheit when the input [tex]C[/tex] is in degrees Celsius.

C. [tex]C(F)[/tex] represents the output of the function [tex]C[/tex] in degrees Fahrenheit when the input [tex]F[/tex] is in degrees Celsius.

D. [tex]C(F)[/tex] represents the output of the function [tex]F[/tex] in degrees Celsius when the input [tex]C[/tex] is in degrees Fahrenheit.

Answer :

- The function $C(F)$ converts degrees Fahrenheit to degrees Celsius.
- $F$ is the input in degrees Fahrenheit.
- $C(F)$ is the output in degrees Celsius.
- Therefore, $C(F)$ represents the temperature in degrees Celsius when the input $F$ is in degrees Fahrenheit.

### Explanation
1. Understanding the Problem
The problem states that Siera wants to convert a temperature from degrees Fahrenheit to degrees Celsius using the function $C(F) = \frac{5}{9}(F - 32)$. We need to determine what $C(F)$ represents.

2. Interpreting the Function
In function notation, $C(F)$ means that the function $C$ takes $F$ as an input. In this case, $F$ represents the temperature in degrees Fahrenheit, and the function $C$ converts this temperature to degrees Celsius. Therefore, $C(F)$ represents the output of the function $C$ in degrees Celsius when the input $F$ is in degrees Fahrenheit.

3. Final Answer
Therefore, $C(F)$ represents the output of the function $C$ in degrees Celsius when the input $F$ is in degrees Fahrenheit.

### Examples
Imagine you're a weather forecaster. You collect temperature data in Fahrenheit, but your audience understands Celsius better. Using the function $C(F) = \frac{5}{9}(F - 32)$, you convert Fahrenheit to Celsius. This conversion helps you communicate weather information clearly to everyone, ensuring they know what to expect in their daily lives. Understanding function notation and unit conversions is crucial for effective communication in many fields.