Answer :
- The function $C(F)$ converts Fahrenheit to Celsius.
- $C(76.1)$ means we are converting 76.1 degrees Fahrenheit to Celsius.
- $C(76.1) = \frac{5}{9}(76.1 - 32) = 24.5$.
- Therefore, $C(76.1)$ represents the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.
### Explanation
1. Understanding the Function
We are given the function $C(F)=\frac{5}{9}(F-32)$, which 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, $C(76.1)$ represents the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.
3. Calculating C(76.1)
We can calculate the value of $C(76.1)$ as follows:
$$C(76.1) = \frac{5}{9}(76.1 - 32) = \frac{5}{9}(44.1) = 24.5$$
This means that 76.1 degrees Fahrenheit is equal to 24.5 degrees Celsius.
4. Final Answer
Therefore, $C(76.1)$ represents the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.
### Examples
Imagine you are traveling to a country that uses Celsius to measure temperature, but you are used to Fahrenheit. The function $C(F)$ allows you to convert temperatures from Fahrenheit to Celsius so you can understand the weather and dress appropriately. For example, if the weather forecast says it will be 25 degrees Celsius, you can use the inverse of the function to convert it to Fahrenheit and get a sense of how warm it will be.
- $C(76.1)$ means we are converting 76.1 degrees Fahrenheit to Celsius.
- $C(76.1) = \frac{5}{9}(76.1 - 32) = 24.5$.
- Therefore, $C(76.1)$ represents the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.
### Explanation
1. Understanding the Function
We are given the function $C(F)=\frac{5}{9}(F-32)$, which 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, $C(76.1)$ represents the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.
3. Calculating C(76.1)
We can calculate the value of $C(76.1)$ as follows:
$$C(76.1) = \frac{5}{9}(76.1 - 32) = \frac{5}{9}(44.1) = 24.5$$
This means that 76.1 degrees Fahrenheit is equal to 24.5 degrees Celsius.
4. Final Answer
Therefore, $C(76.1)$ represents the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.
### Examples
Imagine you are traveling to a country that uses Celsius to measure temperature, but you are used to Fahrenheit. The function $C(F)$ allows you to convert temperatures from Fahrenheit to Celsius so you can understand the weather and dress appropriately. For example, if the weather forecast says it will be 25 degrees Celsius, you can use the inverse of the function to convert it to Fahrenheit and get a sense of how warm it will be.
