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Answer :
Sure, let's go through the steps to understand what the function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] represents.
1. Understanding the Function Notation:
- The function [tex]\( C(F) \)[/tex] is used to denote that it takes input [tex]\( F \)[/tex] (a temperature value in degrees Fahrenheit).
2. Breaking Down the Formula:
- [tex]\( F - 32 \)[/tex]: This part of the formula adjusts the Fahrenheit temperature by subtracting 32. This offset accounts for the difference in the starting points of the Fahrenheit and Celsius scales.
- [tex]\( \frac{5}{9} \)[/tex]: This is the conversion factor that scales the adjusted Fahrenheit temperature to the Celsius equivalent.
3. Putting It All Together:
- When you input the temperature in degrees Fahrenheit [tex]\( F \)[/tex] into the function [tex]\( C(F) \)[/tex], the result is calculated as [tex]\( \frac{5}{9}(F - 32) \)[/tex], which gives you the temperature in degrees Celsius.
4. Conclusion:
- The function [tex]\( C(F) \)[/tex] converts the temperature from degrees Fahrenheit to degrees Celsius.
Thus, [tex]\( C(F) \)[/tex] represents the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius.
So, the correct answer is:
- the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius.
1. Understanding the Function Notation:
- The function [tex]\( C(F) \)[/tex] is used to denote that it takes input [tex]\( F \)[/tex] (a temperature value in degrees Fahrenheit).
2. Breaking Down the Formula:
- [tex]\( F - 32 \)[/tex]: This part of the formula adjusts the Fahrenheit temperature by subtracting 32. This offset accounts for the difference in the starting points of the Fahrenheit and Celsius scales.
- [tex]\( \frac{5}{9} \)[/tex]: This is the conversion factor that scales the adjusted Fahrenheit temperature to the Celsius equivalent.
3. Putting It All Together:
- When you input the temperature in degrees Fahrenheit [tex]\( F \)[/tex] into the function [tex]\( C(F) \)[/tex], the result is calculated as [tex]\( \frac{5}{9}(F - 32) \)[/tex], which gives you the temperature in degrees Celsius.
4. Conclusion:
- The function [tex]\( C(F) \)[/tex] converts the temperature from degrees Fahrenheit to degrees Celsius.
Thus, [tex]\( C(F) \)[/tex] represents the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius.
So, the correct answer is:
- the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius.
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