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][tex]$C(76.1)$[/tex][/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.

Sure! Let's break down what [tex]$C(76.1)$[/tex] represents step-by-step.

1. Understanding the Function: The function [tex]$C(F)=\frac{5}{9}(F-32)$[/tex] is used to convert a temperature from degrees Fahrenheit to degrees Celsius. The formula is designed to take a temperature in Fahrenheit and return its equivalent in Celsius.

2. Given Input: We have a temperature of 76.1 degrees Fahrenheit.

3. Applying the Function: We need to substitute 76.1 for [tex]$F$[/tex] in the function [tex]$C(F)$[/tex]. So, it becomes:
[tex]\[
C(76.1) = \frac{5}{9}(76.1 - 32)
\][/tex]

4. Calculation:
- First, subtract 32 from 76.1, which gives us 44.1.
- Then, multiply this result by [tex]$\frac{5}{9}$[/tex].

5. Result: After performing the multiplication, we get approximately [tex]$24.5$[/tex] degrees Celsius.

6. Conclusion: Therefore, [tex]$C(76.1)$[/tex] represents the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.

So, the correct choice is:
- The temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.