Answer :
- The function $C(F)$ converts Fahrenheit to 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.
### 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. Analyzing the Function
The function $C(F)$ takes an input $F$, which represents the temperature in degrees Fahrenheit. The function then performs a calculation, $\frac{5}{9}(F-32)$, to convert this temperature to degrees Celsius. The result of this calculation is the output of the function, which is represented by $C(F)$.
3. Determining the Meaning of C(F)
Therefore, $C(F)$ represents the output of the function $C$ in degrees Celsius when the input $F$ is in degrees Fahrenheit.
4. Final Answer
The correct answer is: $C(F)$ 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. The function C(F) helps you convert Fahrenheit to Celsius, so you can communicate the temperature in a way everyone understands. This is useful in many real-world situations, such as cooking, where recipes might give temperatures in different units, or in science, where Celsius is often the standard unit.
- $F$ 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.
### 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. Analyzing the Function
The function $C(F)$ takes an input $F$, which represents the temperature in degrees Fahrenheit. The function then performs a calculation, $\frac{5}{9}(F-32)$, to convert this temperature to degrees Celsius. The result of this calculation is the output of the function, which is represented by $C(F)$.
3. Determining the Meaning of C(F)
Therefore, $C(F)$ represents the output of the function $C$ in degrees Celsius when the input $F$ is in degrees Fahrenheit.
4. Final Answer
The correct answer is: $C(F)$ 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. The function C(F) helps you convert Fahrenheit to Celsius, so you can communicate the temperature in a way everyone understands. This is useful in many real-world situations, such as cooking, where recipes might give temperatures in different units, or in science, where Celsius is often the standard unit.