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Answer :
To understand what [tex]$C(F)$[/tex] represents in the context of the given function, we need to break down the function [tex]$C(F)=\frac{5}{9}(F-32)$[/tex].
1. Function Purpose: The function [tex]$C(F)$[/tex] is designed to convert temperatures from degrees Fahrenheit to degrees Celsius.
2. Formula Explanation:
- The formula [tex]$\frac{5}{9}(F-32)$[/tex] is the standard conversion formula used to change a temperature from Fahrenheit (F) to Celsius (C).
- Within this formula, you first subtract 32 from the Fahrenheit temperature because 32°F is the freezing point of water and the offset for the Fahrenheit scale compared to Celsius.
- You then multiply the result by [tex]$\frac{5}{9}$[/tex] to adjust for the difference in scale size between the two units (Fahrenheit has 180 divisions between freezing and boiling, while Celsius has 100).
3. Interpreting [tex]$C(F)$[/tex]:
- Here, [tex]$C(F)$[/tex] represents the function output, which gives us the temperature in degrees Celsius.
- The input [tex]$F$[/tex] is the temperature in degrees Fahrenheit that you want to convert.
Therefore, the correct interpretation is that [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 matches the first option provided:
- [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 option correctly describes the purpose and output of the function in the context given.
1. Function Purpose: The function [tex]$C(F)$[/tex] is designed to convert temperatures from degrees Fahrenheit to degrees Celsius.
2. Formula Explanation:
- The formula [tex]$\frac{5}{9}(F-32)$[/tex] is the standard conversion formula used to change a temperature from Fahrenheit (F) to Celsius (C).
- Within this formula, you first subtract 32 from the Fahrenheit temperature because 32°F is the freezing point of water and the offset for the Fahrenheit scale compared to Celsius.
- You then multiply the result by [tex]$\frac{5}{9}$[/tex] to adjust for the difference in scale size between the two units (Fahrenheit has 180 divisions between freezing and boiling, while Celsius has 100).
3. Interpreting [tex]$C(F)$[/tex]:
- Here, [tex]$C(F)$[/tex] represents the function output, which gives us the temperature in degrees Celsius.
- The input [tex]$F$[/tex] is the temperature in degrees Fahrenheit that you want to convert.
Therefore, the correct interpretation is that [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 matches the first option provided:
- [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 option correctly describes the purpose and output of the function in the context given.
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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
