Answer :
Sure! Let's solve the problem step-by-step.
### Given Information
- The temperature in degrees Fahrenheit: [tex]\( 76.1^\circ F \)[/tex]
- The formula to convert Fahrenheit to Celsius is:
[tex]\[ C(F) = \frac{5}{9} (F - 32) \][/tex]
### Steps to Solve
1. Identify the Function: The function [tex]\( C(F) = \frac{5}{9} (F - 32) \)[/tex] converts a temperature from degrees Fahrenheit (F) to degrees Celsius (C).
2. Substitute the Temperature: Substitute [tex]\( 76.1^\circ F \)[/tex] into the function [tex]\( C(F) \)[/tex].
[tex]\[ C(76.1) = \frac{5}{9} (76.1 - 32) \][/tex]
3. Perform the Subtraction: Subtract 32 from 76.1.
[tex]\[ 76.1 - 32 = 44.1 \][/tex]
4. Multiplication and Division: Now, multiply the result by [tex]\(\frac{5}{9}\)[/tex].
[tex]\[ C(76.1) = \frac{5}{9} \times 44.1 \][/tex]
5. Simplify: Perform the arithmetic operation.
[tex]\[ C(76.1) = \frac{5 \times 44.1}{9} = \frac{220.5}{9} = 24.5 \][/tex]
### Conclusion
The value of [tex]\( C(76.1) \)[/tex] represents the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius. The final temperature in degrees Celsius is approximately [tex]\( 24.5^\circ C \)[/tex].
So, [tex]\( C(76.1) \)[/tex] represents the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius. This matches the first choice provided.
Answer: The temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.
### Given Information
- The temperature in degrees Fahrenheit: [tex]\( 76.1^\circ F \)[/tex]
- The formula to convert Fahrenheit to Celsius is:
[tex]\[ C(F) = \frac{5}{9} (F - 32) \][/tex]
### Steps to Solve
1. Identify the Function: The function [tex]\( C(F) = \frac{5}{9} (F - 32) \)[/tex] converts a temperature from degrees Fahrenheit (F) to degrees Celsius (C).
2. Substitute the Temperature: Substitute [tex]\( 76.1^\circ F \)[/tex] into the function [tex]\( C(F) \)[/tex].
[tex]\[ C(76.1) = \frac{5}{9} (76.1 - 32) \][/tex]
3. Perform the Subtraction: Subtract 32 from 76.1.
[tex]\[ 76.1 - 32 = 44.1 \][/tex]
4. Multiplication and Division: Now, multiply the result by [tex]\(\frac{5}{9}\)[/tex].
[tex]\[ C(76.1) = \frac{5}{9} \times 44.1 \][/tex]
5. Simplify: Perform the arithmetic operation.
[tex]\[ C(76.1) = \frac{5 \times 44.1}{9} = \frac{220.5}{9} = 24.5 \][/tex]
### Conclusion
The value of [tex]\( C(76.1) \)[/tex] represents the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius. The final temperature in degrees Celsius is approximately [tex]\( 24.5^\circ C \)[/tex].
So, [tex]\( C(76.1) \)[/tex] represents the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius. This matches the first choice provided.
Answer: The temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.