Answer :
To solve the question, we need to understand what the function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] is doing.
1. Identify the Inputs and Outputs of the Function:
- In this function, [tex]\( F \)[/tex] is the input. It represents the temperature in degrees Fahrenheit.
- [tex]\( C(F) \)[/tex] is the output. It represents the temperature that's been converted into degrees Celsius.
2. Understand the Conversion Formula:
- The formula [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] is used to convert a temperature from Fahrenheit to Celsius. This is a common formula used in weather calculations.
3. Translate the Function into Words:
- The function takes a temperature value in Fahrenheit as input.
- It performs the mathematical operation to convert this temperature to Celsius.
- The result, [tex]\( C(F) \)[/tex], is the temperature in degrees Celsius.
4. Select the Correct Description:
- Based on the above understanding, the correct description of [tex]\( C(F) \)[/tex] 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."
Thus, the correct interpretation of [tex]\( C(F) \)[/tex] in the context of the given function is the first option:
"[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."
1. Identify the Inputs and Outputs of the Function:
- In this function, [tex]\( F \)[/tex] is the input. It represents the temperature in degrees Fahrenheit.
- [tex]\( C(F) \)[/tex] is the output. It represents the temperature that's been converted into degrees Celsius.
2. Understand the Conversion Formula:
- The formula [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] is used to convert a temperature from Fahrenheit to Celsius. This is a common formula used in weather calculations.
3. Translate the Function into Words:
- The function takes a temperature value in Fahrenheit as input.
- It performs the mathematical operation to convert this temperature to Celsius.
- The result, [tex]\( C(F) \)[/tex], is the temperature in degrees Celsius.
4. Select the Correct Description:
- Based on the above understanding, the correct description of [tex]\( C(F) \)[/tex] 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."
Thus, the correct interpretation of [tex]\( C(F) \)[/tex] in the context of the given function is the first option:
"[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."