College

On his first day of school, Kareem found the high temperature in degrees Fahrenheit to be [tex]76.1^{\circ}[/tex]. He plans to use the function [tex]C(F)=\frac{5}{9}(F-32)[/tex] to convert this temperature from degrees Fahrenheit to degrees Celsius.



What does [tex]C(76.1)[/tex] represent?



A. The temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.

B. The temperature of 76.1 degrees Celsius converted to degrees Fahrenheit.

C. The amount of time it takes for a temperature of 76.1 degrees Fahrenheit to be converted to 32 degrees Celsius.

D. The amount of time it takes for a temperature of 76.1 degrees Celsius to be converted to 32 degrees Fahrenheit.

Answer :

- $C(F)$ converts Fahrenheit to Celsius.
- $C(76.1)$ means inputting 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 Function
The problem states that Kareem uses the function $C(F)=\frac{5}{9}(F-32)$ to convert a temperature $F$ from degrees Fahrenheit to 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 inputting 76.1 degrees Fahrenheit into the function $C(F)$.

3. Meaning of the Result
When we substitute $F = 76.1$ into the function, the result, $C(76.1)$, will be the temperature in degrees Celsius that corresponds to 76.1 degrees Fahrenheit.

4. Conclusion
Therefore, $C(76.1)$ represents the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.

### Examples
Imagine you're baking a cake and the recipe is in Fahrenheit, but your oven displays temperature in Celsius. Using the conversion formula helps you set the correct oven temperature. Similarly, when traveling abroad, knowing how to convert temperatures helps you understand the local weather reports. This conversion is also useful in scientific experiments where consistency in units is crucial for accurate results.