Answer :
Certainly! Let's break down the problem to understand what [tex]\( C(F) \)[/tex] represents.
We are given a function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex].
1. Identify the Variables:
- [tex]\( F \)[/tex] represents the temperature in degrees Fahrenheit.
- [tex]\( C(F) \)[/tex] represents the temperature in degrees Celsius corresponding to the Fahrenheit temperature [tex]\( F \)[/tex].
2. Understand the Function:
- The function [tex]\( C(F) \)[/tex] is used to convert a temperature given in degrees Fahrenheit ( [tex]\( F \)[/tex] ) to degrees Celsius.
- The function [tex]\( C(F) \)[/tex] essentially translates the Fahrenheit temperature into the Celsius scale.
3. Analyze the Equation:
- The formula [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex]:
- Subtracts 32 from the Fahrenheit temperature [tex]\( F \)[/tex] (this adjusts for the fact that 32°F is the freezing point of water, which is 0°C).
- Multiplies the result by [tex]\( \frac{5}{9} \)[/tex] (this adjusts for the difference in the size of the Fahrenheit and Celsius degrees).
4. Determine the Representation:
- Given that [tex]\( C(F) \)[/tex] is the result after applying the conversion formula from Fahrenheit to Celsius, [tex]\( C(F) \)[/tex] represents the temperature in degrees Celsius after converting from a given temperature [tex]\( F \)[/tex] in degrees Fahrenheit.
Based on this understanding, [tex]\( C(F) \)[/tex] represents the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius.
So, the correct interpretation is:
- The temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius.
We are given a function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex].
1. Identify the Variables:
- [tex]\( F \)[/tex] represents the temperature in degrees Fahrenheit.
- [tex]\( C(F) \)[/tex] represents the temperature in degrees Celsius corresponding to the Fahrenheit temperature [tex]\( F \)[/tex].
2. Understand the Function:
- The function [tex]\( C(F) \)[/tex] is used to convert a temperature given in degrees Fahrenheit ( [tex]\( F \)[/tex] ) to degrees Celsius.
- The function [tex]\( C(F) \)[/tex] essentially translates the Fahrenheit temperature into the Celsius scale.
3. Analyze the Equation:
- The formula [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex]:
- Subtracts 32 from the Fahrenheit temperature [tex]\( F \)[/tex] (this adjusts for the fact that 32°F is the freezing point of water, which is 0°C).
- Multiplies the result by [tex]\( \frac{5}{9} \)[/tex] (this adjusts for the difference in the size of the Fahrenheit and Celsius degrees).
4. Determine the Representation:
- Given that [tex]\( C(F) \)[/tex] is the result after applying the conversion formula from Fahrenheit to Celsius, [tex]\( C(F) \)[/tex] represents the temperature in degrees Celsius after converting from a given temperature [tex]\( F \)[/tex] in degrees Fahrenheit.
Based on this understanding, [tex]\( C(F) \)[/tex] represents the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius.
So, the correct interpretation is:
- The temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius.
