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 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 go through the problem step by step.

Kareem has a temperature in degrees Fahrenheit, 76.1°F, and he wants to convert this to degrees Celsius. He plans to use the function [tex]$ C(F) = \frac{5}{9}(F - 32) $[/tex] for this conversion.

Here's how the function works:

1. Identify the given temperature:
- You have 76.1°F as the input value [tex]$ F $[/tex] in Fahrenheit.

2. Apply the conversion formula:
- The formula [tex]$ C(F) = \frac{5}{9}(F - 32) $[/tex] is used to convert Fahrenheit to Celsius.
- Substitute 76.1 into the formula for [tex]$ F $[/tex].

3. Perform the calculation:
- First, subtract 32 from 76.1:
[tex]\[
76.1 - 32 = 44.1
\][/tex]
- Next, multiply the result by [tex]$\frac{5}{9}$[/tex]:
[tex]\[
C = \frac{5}{9} \times 44.1 \approx 24.5
\][/tex]

So, [tex]$ C(76.1) $[/tex], the output of the function, represents approximately [tex]$ 24.5 $[/tex]°C.

Conclusion:

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