Answer :
The function $C(F)$ converts Fahrenheit to Celsius. $C(76.1)$ means we are converting 76.1 degrees Fahrenheit to Celsius. Therefore, $C(76.1)$ represents the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius. $\boxed{{\text{the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius}}}$
### Explanation
1. Understanding the Function
The problem provides a function $C(F) = \frac{5}{9}(F-32)$ that converts a temperature $F$ in degrees Fahrenheit to a temperature in degrees Celsius. We are asked to determine what $C(76.1)$ represents.
2. Interpreting C(76.1)
The function $C(F)$ takes a temperature in Fahrenheit as input and returns the equivalent temperature in Celsius. Therefore, $C(76.1)$ means we are plugging in $F=76.1$ into the function $C(F)$. This will result in the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.
3. Conclusion
Therefore, $C(76.1)$ represents the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.
### Examples
Imagine you're traveling to a country that uses Celsius, but you're used to Fahrenheit. The formula to convert Fahrenheit to Celsius is crucial for understanding the weather and adjusting your clothing accordingly. For example, if the weather forecast in Celsius is 25 degrees, you can convert it to Fahrenheit to better understand how warm it will feel. This conversion is also useful in cooking, where recipes might provide temperatures in different units.
### Explanation
1. Understanding the Function
The problem provides a function $C(F) = \frac{5}{9}(F-32)$ that converts a temperature $F$ in degrees Fahrenheit to a temperature in degrees Celsius. We are asked to determine what $C(76.1)$ represents.
2. Interpreting C(76.1)
The function $C(F)$ takes a temperature in Fahrenheit as input and returns the equivalent temperature in Celsius. Therefore, $C(76.1)$ means we are plugging in $F=76.1$ into the function $C(F)$. This will result in the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.
3. Conclusion
Therefore, $C(76.1)$ represents the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.
### Examples
Imagine you're traveling to a country that uses Celsius, but you're used to Fahrenheit. The formula to convert Fahrenheit to Celsius is crucial for understanding the weather and adjusting your clothing accordingly. For example, if the weather forecast in Celsius is 25 degrees, you can convert it to Fahrenheit to better understand how warm it will feel. This conversion is also useful in cooking, where recipes might provide temperatures in different units.