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------------------------------------------------ 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 Celsius converted to degrees Fahrenheit.
B. The temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.
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.

To solve the problem and determine what [tex]\( C(76.1) \)[/tex] represents, let's follow the process of converting the temperature from degrees Fahrenheit to degrees Celsius using the provided formula:

The function given is:

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

This formula is used for converting temperatures from Fahrenheit to Celsius. Let's break it down using the specific temperature given:

1. Identify the Fahrenheit temperature: Kareem found the high temperature to be 76.1 degrees Fahrenheit.

2. Substitute the Fahrenheit temperature into the conversion formula:
[tex]\[
C(76.1) = \frac{5}{9}(76.1 - 32)
\][/tex]

3. Calculate the difference:
[tex]\[
76.1 - 32 = 44.1
\][/tex]

4. Apply the fraction:
[tex]\[
C(76.1) = \frac{5}{9} \times 44.1
\][/tex]

5. Calculate the result:
After performing the multiplication and division, the Celsius temperature is approximately 24.5.

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

- The temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.