Answer :
Sure! To solve this problem, we need to understand what the function [tex]\( C(F) = \frac{5}{9}(F-32) \)[/tex] represents.
1. Identify the Function:
- The function [tex]\( C(F) \)[/tex] is given, where [tex]\( C \)[/tex] represents Celsius and [tex]\( F \)[/tex] represents Fahrenheit. Specifically, this formula is used to convert temperatures from Fahrenheit to Celsius.
2. Understanding the Formula:
- The formula [tex]\( C(F) = \frac{5}{9}(F-32) \)[/tex] is a standard conversion formula used to find out what a temperature in Fahrenheit would be when converted to Celsius. Here, [tex]\( F \)[/tex] is the temperature in Fahrenheit that you plug into the function.
3. Determine What [tex]\( C(F) \)[/tex] Represents:
- When you use this function, you input a temperature in Fahrenheit (denoted as [tex]\( F \)[/tex]).
- The output of the function [tex]\( C(F) \)[/tex] gives you the temperature in Celsius.
4. Conclusion:
- Based on the above explanation, the correct description for [tex]\( C(F) \)[/tex] 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.
Therefore, the statement that correctly describes [tex]\( C(F) \)[/tex] 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.
1. Identify the Function:
- The function [tex]\( C(F) \)[/tex] is given, where [tex]\( C \)[/tex] represents Celsius and [tex]\( F \)[/tex] represents Fahrenheit. Specifically, this formula is used to convert temperatures from Fahrenheit to Celsius.
2. Understanding the Formula:
- The formula [tex]\( C(F) = \frac{5}{9}(F-32) \)[/tex] is a standard conversion formula used to find out what a temperature in Fahrenheit would be when converted to Celsius. Here, [tex]\( F \)[/tex] is the temperature in Fahrenheit that you plug into the function.
3. Determine What [tex]\( C(F) \)[/tex] Represents:
- When you use this function, you input a temperature in Fahrenheit (denoted as [tex]\( F \)[/tex]).
- The output of the function [tex]\( C(F) \)[/tex] gives you the temperature in Celsius.
4. Conclusion:
- Based on the above explanation, the correct description for [tex]\( C(F) \)[/tex] 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.
Therefore, the statement that correctly describes [tex]\( C(F) \)[/tex] 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.