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Answer :
To understand what [tex]\( C(F) \)[/tex] represents, let's break down the function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex].
1. Understanding the Function:
- The function is used to convert temperatures from degrees Fahrenheit to degrees Celsius.
- The formula [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] is the standard conversion formula where:
- [tex]\( F \)[/tex] is the temperature in degrees Fahrenheit.
- [tex]\( C(F) \)[/tex] is the resulting temperature in degrees Celsius.
2. Looking at the Options:
- First Option: "C(F) represents the output of the function C in degrees Celsius when the input F is in degrees Fahrenheit."
- This is accurate because the function [tex]\( C \)[/tex] converts a given temperature [tex]\( F \)[/tex] (in Fahrenheit) into [tex]\( C(F) \)[/tex] (in Celsius).
- Second Option: "C(F) represents the output of the function F in degrees Fahrenheit when the input C is in degrees Celsius."
- This is incorrect because it speaks of a function [tex]\( F \)[/tex], which is not defined in this context, and it reverses the roles of Fahrenheit and Celsius.
- Third Option: "C(F) represents the output of the function C in degrees Fahrenheit when the input F is in degrees Celsius."
- This is incorrect because the output [tex]\( C(F) \)[/tex] is in degrees Celsius, not Fahrenheit.
- Fourth Option: "C(F) represents the output of the function F in degrees Celsius when the input C is in degrees Fahrenheit."
- This is incorrect for similar reasons as the second option; it reverses the roles and mislabels the units.
3. Conclusion:
- The correct interpretation is: "C(F) represents the output of the function C in degrees Celsius when the input F is in degrees Fahrenheit."
This means that [tex]\( C(F) \)[/tex] provides the temperature in degrees Celsius corresponding to the given temperature [tex]\( F \)[/tex] in degrees Fahrenheit.
1. Understanding the Function:
- The function is used to convert temperatures from degrees Fahrenheit to degrees Celsius.
- The formula [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] is the standard conversion formula where:
- [tex]\( F \)[/tex] is the temperature in degrees Fahrenheit.
- [tex]\( C(F) \)[/tex] is the resulting temperature in degrees Celsius.
2. Looking at the Options:
- First Option: "C(F) represents the output of the function C in degrees Celsius when the input F is in degrees Fahrenheit."
- This is accurate because the function [tex]\( C \)[/tex] converts a given temperature [tex]\( F \)[/tex] (in Fahrenheit) into [tex]\( C(F) \)[/tex] (in Celsius).
- Second Option: "C(F) represents the output of the function F in degrees Fahrenheit when the input C is in degrees Celsius."
- This is incorrect because it speaks of a function [tex]\( F \)[/tex], which is not defined in this context, and it reverses the roles of Fahrenheit and Celsius.
- Third Option: "C(F) represents the output of the function C in degrees Fahrenheit when the input F is in degrees Celsius."
- This is incorrect because the output [tex]\( C(F) \)[/tex] is in degrees Celsius, not Fahrenheit.
- Fourth Option: "C(F) represents the output of the function F in degrees Celsius when the input C is in degrees Fahrenheit."
- This is incorrect for similar reasons as the second option; it reverses the roles and mislabels the units.
3. Conclusion:
- The correct interpretation is: "C(F) represents the output of the function C in degrees Celsius when the input F is in degrees Fahrenheit."
This means that [tex]\( C(F) \)[/tex] provides the temperature in degrees Celsius corresponding to the given temperature [tex]\( F \)[/tex] in degrees Fahrenheit.
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- For one month Siera calculated her hometown s average high temperature in degrees Fahrenheit She wants to convert that temperature from degrees Fahrenheit to degrees.
Rewritten by : Batagu
