Answer :
Certainly! Let's go through the question step-by-step to understand what [tex]$C(F)$[/tex] represents in the given function.
1. Understanding the Function: We have the function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex]. This function is used for converting a temperature from degrees Fahrenheit to degrees Celsius.
2. Identifying the Parts:
- [tex]\( F \)[/tex]: This variable represents the temperature in degrees Fahrenheit. It is the input to the function.
- [tex]\( C(F) \)[/tex]: This represents the output of the function. Since we are using the formula to convert Fahrenheit to Celsius, [tex]\( C(F) \)[/tex] will give the temperature in degrees Celsius.
3. What Does [tex]\( C(F) \)[/tex] Represent?: From understanding the function structure and purpose, [tex]\( C(F) \)[/tex] is the temperature in degrees Celsius after converting from Fahrenheit.
4. Choice Evaluation: Based on this understanding, we match this information with the provided options:
- "C(F) represents the output of the function C in degrees Celsius when the input F is in degrees Fahrenheit.": This statement correctly describes what [tex]\( C(F) \)[/tex] represents in the function. The input is in Fahrenheit, and the output is in Celsius after conversion.
Therefore, the correct interpretation is that [tex]\( C(F) \)[/tex] represents the output of the function in degrees Celsius when the input [tex]\( F \)[/tex] is in degrees Fahrenheit.
1. Understanding the Function: We have the function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex]. This function is used for converting a temperature from degrees Fahrenheit to degrees Celsius.
2. Identifying the Parts:
- [tex]\( F \)[/tex]: This variable represents the temperature in degrees Fahrenheit. It is the input to the function.
- [tex]\( C(F) \)[/tex]: This represents the output of the function. Since we are using the formula to convert Fahrenheit to Celsius, [tex]\( C(F) \)[/tex] will give the temperature in degrees Celsius.
3. What Does [tex]\( C(F) \)[/tex] Represent?: From understanding the function structure and purpose, [tex]\( C(F) \)[/tex] is the temperature in degrees Celsius after converting from Fahrenheit.
4. Choice Evaluation: Based on this understanding, we match this information with the provided options:
- "C(F) represents the output of the function C in degrees Celsius when the input F is in degrees Fahrenheit.": This statement correctly describes what [tex]\( C(F) \)[/tex] represents in the function. The input is in Fahrenheit, and the output is in Celsius after conversion.
Therefore, the correct interpretation is that [tex]\( C(F) \)[/tex] represents the output of the function in degrees Celsius when the input [tex]\( F \)[/tex] is in degrees Fahrenheit.