High School

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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 a temperature of 76.1 degrees Fahrenheit to be converted to 32 degrees Celsius.

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

Answer :

* The function $C(F)$ converts Fahrenheit to Celsius.
* $C(76.1)$ means substituting $F = 76.1$ into the function.
* This calculates the Celsius equivalent of $76.1^{\circ}F$.
* 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 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 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. Final Answer
The expression $C(76.1)$ represents the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.

### Examples
Imagine you are traveling to Europe, where temperatures are commonly reported in Celsius. If you know the temperature in Fahrenheit, you can use the function $C(F) = \frac{5}{9}(F - 32)$ to convert it to Celsius. For example, if the temperature in Fahrenheit is $76.1^{\circ}F$, you can calculate $C(76.1)$ to find the equivalent temperature in Celsius, which is approximately $24.5^{\circ}C$. This conversion helps you understand and adapt to the local weather conditions.

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