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

Sure! Let's look at what the function [tex]$ C(F) = \frac{5}{9}(F - 32) $[/tex] does and what [tex]$ C(76.1) $[/tex] represents.

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

2. Identifying the Input: In this case, we have [tex]$ F = 76.1 $[/tex] degrees Fahrenheit, which is the high temperature Kareem observed.

3. Conversion Process: By plugging [tex]$ F = 76.1 $[/tex] into the function, we perform the conversion from Fahrenheit to Celsius as follows:

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

4. Calculation: Solve the expression:
- First, subtract 32 from 76.1: [tex]$ 76.1 - 32 = 44.1 $[/tex].
- Then multiply the result by [tex]$\frac{5}{9}$[/tex]: [tex]$ \frac{5}{9} \times 44.1 $[/tex].

5. Result Interpretation: The result of this calculation represents the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.

With the provided results, the correct interpretation of [tex]$ C(76.1) $[/tex] is:
- The temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.

So, [tex]$ C(76.1) $[/tex] gives us the temperature in Celsius, which is approximately 24.5°C.