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 understand what [tex]\( C(76.1) \)[/tex] represents, we need to look at the function provided:

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

This function is used to convert temperatures from degrees Fahrenheit (°F) to degrees Celsius (°C). Here's how we determine what [tex]\( C(76.1) \)[/tex] is:

1. Identify What F Represents: In this case, [tex]\( F = 76.1 \)[/tex]°F is the temperature that Kareem encountered.

2. Convert Fahrenheit to Celsius: Substitute [tex]\( F = 76.1 \)[/tex] into the conversion formula:

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

By solving the equation, you get:

[tex]\[
C(76.1) = 24.5 \, \text{approximately}
\][/tex]

3. Interpret the Result: Based on the calculation, [tex]\( C(76.1) \)[/tex] gives the temperature in degrees Celsius that corresponds to 76.1°F.

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