Answer :
To solve the question of what [tex]$C(F)$[/tex] represents, we need to carefully analyze the given function.
The function is defined as:
[tex]\[ C(F) = \frac{5}{9}(F - 32) \][/tex]
Let's break it down:
1. Understanding the Function:
- The function [tex]$C(F)$[/tex] is used to convert temperatures from degrees Fahrenheit (denoted as [tex]$F$[/tex]) to degrees Celsius (denoted as [tex]$C$[/tex]).
- Here, [tex]$C(F)$[/tex] is the notation for the output of the function, indicating the temperature in Celsius as a result of the calculation.
2. Explanation of the Formula:
- The formula [tex]$\frac{5}{9}(F - 32)$[/tex] is the standard conversion formula from Fahrenheit to Celsius.
- It takes the Fahrenheit temperature, subtracts 32, and then multiplies by [tex]$\frac{5}{9}$[/tex] to get the temperature in Celsius.
3. Analyzing the Options:
- The correct interpretation should recognize that [tex]$C(F)$[/tex] is the temperature in Celsius.
- The input [tex]$F$[/tex] represents the temperature in Fahrenheit.
4. Conclusion:
- Therefore, [tex]$C(F)$[/tex] represents the output of the function [tex]$C$[/tex] in degrees Celsius when the input [tex]$F$[/tex] is in degrees Fahrenheit.
Based on this breakdown, the correct option is:
[tex]$C(F)$[/tex] represents the output of the function [tex]$C$[/tex] in degrees Celsius when the input [tex]$F$[/tex] is in degrees Fahrenheit.
The function is defined as:
[tex]\[ C(F) = \frac{5}{9}(F - 32) \][/tex]
Let's break it down:
1. Understanding the Function:
- The function [tex]$C(F)$[/tex] is used to convert temperatures from degrees Fahrenheit (denoted as [tex]$F$[/tex]) to degrees Celsius (denoted as [tex]$C$[/tex]).
- Here, [tex]$C(F)$[/tex] is the notation for the output of the function, indicating the temperature in Celsius as a result of the calculation.
2. Explanation of the Formula:
- The formula [tex]$\frac{5}{9}(F - 32)$[/tex] is the standard conversion formula from Fahrenheit to Celsius.
- It takes the Fahrenheit temperature, subtracts 32, and then multiplies by [tex]$\frac{5}{9}$[/tex] to get the temperature in Celsius.
3. Analyzing the Options:
- The correct interpretation should recognize that [tex]$C(F)$[/tex] is the temperature in Celsius.
- The input [tex]$F$[/tex] represents the temperature in Fahrenheit.
4. Conclusion:
- Therefore, [tex]$C(F)$[/tex] represents the output of the function [tex]$C$[/tex] in degrees Celsius when the input [tex]$F$[/tex] is in degrees Fahrenheit.
Based on this breakdown, the correct option is:
[tex]$C(F)$[/tex] represents the output of the function [tex]$C$[/tex] in degrees Celsius when the input [tex]$F$[/tex] is in degrees Fahrenheit.