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.

Let's delve into the steps involved in solving the given problem.

To convert the temperature from degrees Fahrenheit to degrees Celsius, we use the formula:
[tex]\[ C(F) = \frac{5}{9} (F - 32) \][/tex]

Where:
- [tex]$C(F)$[/tex] is the temperature in degrees Celsius
- [tex]$F$[/tex] is the temperature in degrees Fahrenheit

Given:
[tex]\[ F = 76.1 \text{ degrees Fahrenheit} \][/tex]

We need to substitute [tex]$76.1$[/tex] into the formula to find the temperature in degrees Celsius.

[tex]\[ C(76.1) = \frac{5}{9} (76.1 - 32) \][/tex]

First, calculate the expression inside the parentheses:
[tex]\[ 76.1 - 32 = 44.1 \][/tex]

Next, multiply this result by [tex]$\frac{5}{9}$[/tex]:
[tex]\[ C(76.1) = \frac{5}{9} \times 44.1 \][/tex]

After performing this multiplication, we get:
[tex]\[ C(76.1) = 24.50 \][/tex]

Thus, [tex]$ C(76.1) $[/tex] represents the temperature of [tex]$ 76.1 $[/tex] degrees Fahrenheit converted to degrees Celsius, which is approximately [tex]$ 24.5 $[/tex] degrees Celsius.

Among the given options, the correct answer is:

- the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius