Answer :
Sure, let's break down the problem and understand it step-by-step.
1. Understanding the Function:
The formula given is [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex]. This formula is used to convert a temperature from degrees Fahrenheit (F) to degrees Celsius (C).
2. Interpreting the Function:
- [tex]\( F \)[/tex] represents the temperature in degrees Fahrenheit, which is the input to the function.
- [tex]\( C(F) \)[/tex] represents the temperature in degrees Celsius, which is the output of the function after applying the conversion formula.
3. Choosing the Correct Explanation:
Based on the function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex], we see that it converts Fahrenheit temperatures to Celsius. Therefore, [tex]\( C(F) \)[/tex] specifically gives us the temperature in Celsius when the input is in Fahrenheit.
4. Conclusion:
The correct interpretation of [tex]\( C(F) \)[/tex] is that it represents the output of the function in degrees Celsius when the input is in degrees Fahrenheit.
Given this understanding, the correct choice from the options provided is:
- "C(F) represents the output of the function C in degrees Celsius when the input F is in degrees Fahrenheit."
1. Understanding the Function:
The formula given is [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex]. This formula is used to convert a temperature from degrees Fahrenheit (F) to degrees Celsius (C).
2. Interpreting the Function:
- [tex]\( F \)[/tex] represents the temperature in degrees Fahrenheit, which is the input to the function.
- [tex]\( C(F) \)[/tex] represents the temperature in degrees Celsius, which is the output of the function after applying the conversion formula.
3. Choosing the Correct Explanation:
Based on the function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex], we see that it converts Fahrenheit temperatures to Celsius. Therefore, [tex]\( C(F) \)[/tex] specifically gives us the temperature in Celsius when the input is in Fahrenheit.
4. Conclusion:
The correct interpretation of [tex]\( C(F) \)[/tex] is that it represents the output of the function in degrees Celsius when the input is in degrees Fahrenheit.
Given this understanding, the correct choice from the options provided is:
- "C(F) represents the output of the function C in degrees Celsius when the input F is in degrees Fahrenheit."