Answer :
- The function $C(F)$ converts Fahrenheit to Celsius.
- $F$ is the input temperature in Fahrenheit.
- $C(F)$ is the output temperature in Celsius.
- Therefore, $C(F)$ represents the temperature in Celsius when the input is in Fahrenheit. The answer is: $\boxed{C(F) \text{ represents the output of the function } C \text{ in degrees Celsius when the input } F \text{ is in degrees Fahrenheit}}$
### Explanation
1. Understanding the Function
We are given a function $C(F) = \frac{5}{9}(F-32)$ that converts a temperature $F$ in degrees Fahrenheit to a temperature $C(F)$ in degrees Celsius. The question asks us to interpret what $C(F)$ represents.
2. Interpreting the Input and Output
The function $C(F)$ takes a temperature in degrees Fahrenheit, denoted by $F$, as its input. It then performs a calculation, $\frac{5}{9}(F-32)$, to convert this Fahrenheit temperature into the equivalent temperature in degrees Celsius. The result of this calculation is the output of the function, which is the temperature in degrees Celsius.
3. Conclusion
Therefore, $C(F)$ represents the output of the function $C$ in degrees Celsius when the input $F$ is in degrees Fahrenheit.
### Examples
Imagine you are traveling to a country that uses Celsius to measure temperature, but you are used to Fahrenheit. The function C(F) helps you convert the weather forecast from Fahrenheit to Celsius, so you know what to expect and how to dress. This conversion is useful in many real-life situations, such as cooking, scientific research, and international communication.
- $F$ is the input temperature in Fahrenheit.
- $C(F)$ is the output temperature in Celsius.
- Therefore, $C(F)$ represents the temperature in Celsius when the input is in Fahrenheit. The answer is: $\boxed{C(F) \text{ represents the output of the function } C \text{ in degrees Celsius when the input } F \text{ is in degrees Fahrenheit}}$
### Explanation
1. Understanding the Function
We are given a function $C(F) = \frac{5}{9}(F-32)$ that converts a temperature $F$ in degrees Fahrenheit to a temperature $C(F)$ in degrees Celsius. The question asks us to interpret what $C(F)$ represents.
2. Interpreting the Input and Output
The function $C(F)$ takes a temperature in degrees Fahrenheit, denoted by $F$, as its input. It then performs a calculation, $\frac{5}{9}(F-32)$, to convert this Fahrenheit temperature into the equivalent temperature in degrees Celsius. The result of this calculation is the output of the function, which is the temperature in degrees Celsius.
3. Conclusion
Therefore, $C(F)$ represents the output of the function $C$ in degrees Celsius when the input $F$ is in degrees Fahrenheit.
### Examples
Imagine you are traveling to a country that uses Celsius to measure temperature, but you are used to Fahrenheit. The function C(F) helps you convert the weather forecast from Fahrenheit to Celsius, so you know what to expect and how to dress. This conversion is useful in many real-life situations, such as cooking, scientific research, and international communication.