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.

We want to convert a temperature of $76.1^\circ \text{F}$ to Celsius using the function

$$
C(F) = \frac{5}{9}(F - 32).
$$

Here are the detailed steps:

1. We start with the temperature in Fahrenheit: $F = 76.1$.

2. Substitute $F = 76.1$ into the function:

$$
C(76.1) = \frac{5}{9}(76.1 - 32).
$$

3. Calculate the difference in the parentheses:

$$
76.1 - 32 = 44.1.
$$

4. Now, multiply by the factor $\frac{5}{9}$:

$$
C(76.1) = \frac{5}{9} \times 44.1 \approx 24.5.
$$

The number $C(76.1)$ represents the temperature in degrees Celsius obtained by converting $76.1^\circ \text{F}$.

Thus, $C(76.1)$ is the temperature of $76.1^\circ \text{F}$ converted to degrees Celsius.