Answer :
To solve this problem, we need to understand what [tex]\( C(76.1) \)[/tex] represents when using the provided function for temperature conversion. The function given is:
[tex]\[ C(f) = \frac{5}{9}(f - 32) \][/tex]
This is a standard conversion formula used to change temperature from degrees Fahrenheit ([tex]\( f \)[/tex]) to degrees Celsius ([tex]\( C(f) \)[/tex]). In this context, [tex]\( C(76.1) \)[/tex] refers to converting 76.1 degrees Fahrenheit into degrees Celsius.
Now, let's break down the conversion:
1. Subtract 32 from the Fahrenheit Temperature:
- Start with the temperature in Fahrenheit, which is 76.1 degrees.
- Subtract 32 from this value: [tex]\( 76.1 - 32 = 44.1 \)[/tex].
2. Multiply by [tex]\(\frac{5}{9}\)[/tex]:
- Take the result from the first step, 44.1, and multiply it by [tex]\(\frac{5}{9}\)[/tex].
- This calculation gives the equivalent temperature in Celsius:
[tex]\[
C(76.1) = \frac{5}{9} \times 44.1 \approx 24.5
\][/tex]
This result means that the temperature of 76.1 degrees Fahrenheit is approximately 24.5 degrees Celsius.
Thus, [tex]\( C(76.1) \)[/tex] represents the conversion of 76.1 degrees Fahrenheit to degrees Celsius, and the correct interpretation from the options given is:
- The temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.
[tex]\[ C(f) = \frac{5}{9}(f - 32) \][/tex]
This is a standard conversion formula used to change temperature from degrees Fahrenheit ([tex]\( f \)[/tex]) to degrees Celsius ([tex]\( C(f) \)[/tex]). In this context, [tex]\( C(76.1) \)[/tex] refers to converting 76.1 degrees Fahrenheit into degrees Celsius.
Now, let's break down the conversion:
1. Subtract 32 from the Fahrenheit Temperature:
- Start with the temperature in Fahrenheit, which is 76.1 degrees.
- Subtract 32 from this value: [tex]\( 76.1 - 32 = 44.1 \)[/tex].
2. Multiply by [tex]\(\frac{5}{9}\)[/tex]:
- Take the result from the first step, 44.1, and multiply it by [tex]\(\frac{5}{9}\)[/tex].
- This calculation gives the equivalent temperature in Celsius:
[tex]\[
C(76.1) = \frac{5}{9} \times 44.1 \approx 24.5
\][/tex]
This result means that the temperature of 76.1 degrees Fahrenheit is approximately 24.5 degrees Celsius.
Thus, [tex]\( C(76.1) \)[/tex] represents the conversion of 76.1 degrees Fahrenheit to degrees Celsius, and the correct interpretation from the options given is:
- The temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.
