Answer :
- $C(F)$ converts Fahrenheit to Celsius.
- $C(76.1)$ means plugging in 76.1 degrees Fahrenheit into the function.
- The result is the equivalent temperature in Celsius.
- Therefore, $C(76.1)$ represents the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.
### Explanation
1. Understanding the Problem
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. Since the function $C(F)$ takes a temperature in Fahrenheit as input and returns the equivalent temperature in Celsius, $C(76.1)$ represents the temperature in degrees Celsius when the temperature in Fahrenheit is $76.1$ degrees. In other words, it is the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.
2. Calculating C(76.1)
To further illustrate, we can calculate the value of $C(76.1)$ by substituting $F=76.1$ into the function:$$C(76.1) = \frac{5}{9}(76.1-32) = \frac{5}{9}(44.1) = 24.5$$This means that 76.1 degrees Fahrenheit is equal to 24.5 degrees Celsius.
3. Final Answer
Therefore, $C(76.1)$ represents the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.
### Examples
Imagine you're planning a trip to Europe, where temperatures are commonly reported in Celsius. You hear that the average high temperature in your destination city is around 25 degrees Celsius. To understand how warm that is, you can convert it to Fahrenheit using a similar conversion formula. This helps you pack appropriate clothing and prepare for the weather, ensuring a more comfortable trip. Understanding temperature conversions is useful in many real-life situations, from cooking to understanding weather reports.
- $C(76.1)$ means plugging in 76.1 degrees Fahrenheit into the function.
- The result is the equivalent temperature in Celsius.
- Therefore, $C(76.1)$ represents the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.
### Explanation
1. Understanding the Problem
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. Since the function $C(F)$ takes a temperature in Fahrenheit as input and returns the equivalent temperature in Celsius, $C(76.1)$ represents the temperature in degrees Celsius when the temperature in Fahrenheit is $76.1$ degrees. In other words, it is the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.
2. Calculating C(76.1)
To further illustrate, we can calculate the value of $C(76.1)$ by substituting $F=76.1$ into the function:$$C(76.1) = \frac{5}{9}(76.1-32) = \frac{5}{9}(44.1) = 24.5$$This means that 76.1 degrees Fahrenheit is equal to 24.5 degrees Celsius.
3. Final Answer
Therefore, $C(76.1)$ represents the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.
### Examples
Imagine you're planning a trip to Europe, where temperatures are commonly reported in Celsius. You hear that the average high temperature in your destination city is around 25 degrees Celsius. To understand how warm that is, you can convert it to Fahrenheit using a similar conversion formula. This helps you pack appropriate clothing and prepare for the weather, ensuring a more comfortable trip. Understanding temperature conversions is useful in many real-life situations, from cooking to understanding weather reports.
