Answer :
To solve the question, we need to understand what the function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] represents. This function is used to convert a temperature from degrees Fahrenheit to degrees Celsius.
Let's break down the components of the function:
1. Input [tex]\( F \)[/tex]: This is the temperature value in degrees Fahrenheit that you want to convert to degrees Celsius.
2. Output [tex]\( C(F) \)[/tex]: This is the value you obtain after applying the function to [tex]\( F \)[/tex]. The result will be the temperature in degrees Celsius.
The function works by taking the Fahrenheit temperature [tex]\( F \)[/tex], subtracting 32 to adjust for the freezing point of water difference between the two scales, then multiplying by [tex]\(\frac{5}{9}\)[/tex] to account for the scale factor difference in size between the degrees on each scale.
Therefore, when the problem asks what [tex]\( C(F) \)[/tex] represents:
- Correct Choice: [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 basic understanding of converting temperatures using the given formula, ensuring that the conversion from degrees Fahrenheit to degrees Celsius is correctly interpreted.
Let's break down the components of the function:
1. Input [tex]\( F \)[/tex]: This is the temperature value in degrees Fahrenheit that you want to convert to degrees Celsius.
2. Output [tex]\( C(F) \)[/tex]: This is the value you obtain after applying the function to [tex]\( F \)[/tex]. The result will be the temperature in degrees Celsius.
The function works by taking the Fahrenheit temperature [tex]\( F \)[/tex], subtracting 32 to adjust for the freezing point of water difference between the two scales, then multiplying by [tex]\(\frac{5}{9}\)[/tex] to account for the scale factor difference in size between the degrees on each scale.
Therefore, when the problem asks what [tex]\( C(F) \)[/tex] represents:
- Correct Choice: [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 basic understanding of converting temperatures using the given formula, ensuring that the conversion from degrees Fahrenheit to degrees Celsius is correctly interpreted.