Answer :
Sure! Let's break down the question step by step.
We have a function mentioned as converting a temperature from degrees Fahrenheit (F) to degrees Celsius (C). Typically in transformations or conversions, we represent the function's name to be helpful in understanding what it does. In this case, [tex]\( C(F) \)[/tex] is used, which often serves as a notation for a function (C) that takes (F) as its input.
Here's how to interpret the phrases provided:
1. "[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."
- This interpretation means the function C takes an input in Fahrenheit (F) and converts it to an output in Celsius (C). This is how conversion works between these units.
2. "[tex]$C(F)$[/tex] represents the output of the function [tex]$F$[/tex] in degrees Fahrenheit when the input [tex]$C$[/tex] is in degrees Celsius."
- This statement would suggest that the function F does the reverse: taking Celsius as input and converting it to Fahrenheit as output, not matching what Siera wants to achieve.
3. "[tex]$C(F)$[/tex] represents the output of the function [tex]$C$[/tex] in degrees Fahrenheit when the input [tex]$F$[/tex] is in degrees Celsius."
- This statement does not make sense for the current context, as it suggests the output remains in Fahrenheit after processing, which contradicts the purpose of conversion.
4. "[tex]$C(F)$[/tex] represents the output of the function [tex]$F$[/tex] in degrees Celsius when the input [tex]$C$[/tex] is in degrees Fahrenheit."
- This option makes the confusing assumption that both input and output units are swapped around from our task's purpose.
Based on the context provided and understanding what Siera aims to achieve (converting temperature from Fahrenheit to Celsius), the correct interpretation 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."
This means the function takes a temperature in Fahrenheit as input and outputs the equivalent temperature in Celsius, aligning perfectly with Siera's goal.
We have a function mentioned as converting a temperature from degrees Fahrenheit (F) to degrees Celsius (C). Typically in transformations or conversions, we represent the function's name to be helpful in understanding what it does. In this case, [tex]\( C(F) \)[/tex] is used, which often serves as a notation for a function (C) that takes (F) as its input.
Here's how to interpret the phrases provided:
1. "[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."
- This interpretation means the function C takes an input in Fahrenheit (F) and converts it to an output in Celsius (C). This is how conversion works between these units.
2. "[tex]$C(F)$[/tex] represents the output of the function [tex]$F$[/tex] in degrees Fahrenheit when the input [tex]$C$[/tex] is in degrees Celsius."
- This statement would suggest that the function F does the reverse: taking Celsius as input and converting it to Fahrenheit as output, not matching what Siera wants to achieve.
3. "[tex]$C(F)$[/tex] represents the output of the function [tex]$C$[/tex] in degrees Fahrenheit when the input [tex]$F$[/tex] is in degrees Celsius."
- This statement does not make sense for the current context, as it suggests the output remains in Fahrenheit after processing, which contradicts the purpose of conversion.
4. "[tex]$C(F)$[/tex] represents the output of the function [tex]$F$[/tex] in degrees Celsius when the input [tex]$C$[/tex] is in degrees Fahrenheit."
- This option makes the confusing assumption that both input and output units are swapped around from our task's purpose.
Based on the context provided and understanding what Siera aims to achieve (converting temperature from Fahrenheit to Celsius), the correct interpretation 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."
This means the function takes a temperature in Fahrenheit as input and outputs the equivalent temperature in Celsius, aligning perfectly with Siera's goal.