On his first day of school, Kareem found the high temperature to be [tex]$76.1^{\circ}$[/tex] Fahrenheit. 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.

To understand what [tex]$ C(76.1) $[/tex] represents, let's break down the process of converting from degrees Fahrenheit to degrees Celsius using the given function:

1. Understand the Function: The function [tex]$ C(F) = \frac{5}{9}(F - 32) $[/tex] is used to convert a temperature from degrees Fahrenheit (F) to degrees Celsius (C).

2. Substitute 76.1 into the Function: We need to find [tex]$ C(76.1) $[/tex], which means we substitute [tex]$ F = 76.1 $[/tex] into the function.

3. Calculate Step-by-Step:
- Start by subtracting 32 from 76.1:
[tex]\[
76.1 - 32 = 44.1
\][/tex]
- Next, multiply the result by [tex]$\frac{5}{9}$[/tex]:
[tex]\[
C = \frac{5}{9} \times 44.1
\][/tex]

4. Result: The calculation results in approximately [tex]$ 24.5 $[/tex] degrees Celsius.

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