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 go through the process step-by-step to understand what [tex]$ C(76.1) $[/tex] represents using the given formula for converting temperature from Fahrenheit to Celsius.

1. Identify the Formula: The formula provided for conversion from degrees Fahrenheit ([tex]$ F $[/tex]) to degrees Celsius ([tex]$ C $[/tex]) is:
[tex]\[
C = \frac{5}{9}(F - 32)
\][/tex]

2. Substitute the Value: You are asked to find [tex]$ C(76.1) $[/tex]. This means you want to convert 76.1 degrees Fahrenheit to degrees Celsius. Substitute [tex]$ F = 76.1 $[/tex] into the formula:
[tex]\[
C = \frac{5}{9}(76.1 - 32)
\][/tex]

3. Perform the Calculation:
- First, calculate the difference inside the parentheses:
[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]

4. Interpret the Result: The result of approximately 24.5 tells us that 76.1 degrees Fahrenheit is equivalent to about 24.5 degrees Celsius.

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