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.

To solve the problem of converting the temperature from degrees Fahrenheit to degrees Celsius, we'll use the function provided:

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

Here, [tex]$ F $[/tex] represents the temperature in degrees Fahrenheit, and [tex]$ C(F) $[/tex] represents the temperature in degrees Celsius.

We are given [tex]$ F = 76.1 $[/tex] degrees Fahrenheit. Let's substitute this into the conversion formula to find the corresponding temperature in degrees Celsius:

1. Subtract 32 from the Fahrenheit temperature:

[tex]\[ 76.1 - 32 = 44.1 \][/tex]

2. Multiply the result by [tex]$\frac{5}{9}$[/tex]:

[tex]\[ C(76.1) = \frac{5}{9} \times 44.1 \][/tex]

3. Calculate the result:

[tex]\[ C(76.1) \approx 24.5 \][/tex]

So, [tex]$ C(76.1) $[/tex] represents the temperature of 76.1 degrees Fahrenheit converted to approximately 24.5 degrees Celsius. Therefore, the correct interpretation is:

The temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.