Answer :
- The function $C(F)$ converts degrees Fahrenheit to degrees Celsius.
- $F$ represents the input temperature in degrees Fahrenheit.
- $C(F)$ represents the output temperature in degrees Celsius.
- Therefore, $C(F)$ represents the output of the function $C$ in degrees Celsius when the input $F$ is in degrees Fahrenheit.
- The answer is: $C(F)$ represents the output of the function $C$ in degrees Celsius when the input $F$ is in degrees Fahrenheit.
### Explanation
1. Understanding the Function
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. Identifying Input and Output
In the function $C(F) = \frac{5}{9}(F-32)$, $F$ is the input, which represents the temperature in degrees Fahrenheit. The function $C$ takes this input and performs a calculation to convert it to degrees Celsius.
3. Determining the Output
Therefore, $C(F)$ is the output of the function, which represents the temperature in degrees Celsius after the conversion.
4. Selecting the Correct Option
Comparing this with the given options, the correct statement is: $C(F)$ represents the output of the function $C$ in degrees Celsius when the input $F$ is in degrees Fahrenheit.
5. Final Answer
The correct answer is that $C(F)$ 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 in the United States, where temperatures are commonly reported in Fahrenheit. However, you need to share this information with colleagues in Europe, where Celsius is used. The function $C(F) = \frac{5}{9}(F-32)$ allows you to easily convert the Fahrenheit temperature to Celsius, ensuring clear communication and understanding across different regions. This conversion is crucial in many fields, including meteorology, cooking, and international collaborations.
- $F$ represents the input temperature in degrees Fahrenheit.
- $C(F)$ represents the output temperature in degrees Celsius.
- Therefore, $C(F)$ represents the output of the function $C$ in degrees Celsius when the input $F$ is in degrees Fahrenheit.
- The answer is: $C(F)$ represents the output of the function $C$ in degrees Celsius when the input $F$ is in degrees Fahrenheit.
### Explanation
1. Understanding the Function
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. Identifying Input and Output
In the function $C(F) = \frac{5}{9}(F-32)$, $F$ is the input, which represents the temperature in degrees Fahrenheit. The function $C$ takes this input and performs a calculation to convert it to degrees Celsius.
3. Determining the Output
Therefore, $C(F)$ is the output of the function, which represents the temperature in degrees Celsius after the conversion.
4. Selecting the Correct Option
Comparing this with the given options, the correct statement is: $C(F)$ represents the output of the function $C$ in degrees Celsius when the input $F$ is in degrees Fahrenheit.
5. Final Answer
The correct answer is that $C(F)$ 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 in the United States, where temperatures are commonly reported in Fahrenheit. However, you need to share this information with colleagues in Europe, where Celsius is used. The function $C(F) = \frac{5}{9}(F-32)$ allows you to easily convert the Fahrenheit temperature to Celsius, ensuring clear communication and understanding across different regions. This conversion is crucial in many fields, including meteorology, cooking, and international collaborations.