Answer :
To solve this question, we need to understand the role of the function [tex]\( C(F) = \frac{5}{9}(F-32) \)[/tex]. This function is used to convert temperatures from degrees Fahrenheit to degrees Celsius.
Here's a breakdown of how the function works:
1. Understand the formula:
- The formula [tex]\( C(F) = \frac{5}{9}(F-32) \)[/tex] is specifically designed to change a temperature from the Fahrenheit scale to the Celsius scale.
- [tex]\( F \)[/tex] represents the temperature in degrees Fahrenheit.
- [tex]\( C(F) \)[/tex] is the result of the conversion from Fahrenheit to Celsius. This is the temperature in degrees Celsius.
2. Identify what [tex]\( C(F) \)[/tex] stands for:
- [tex]\( C(F) \)[/tex] provides the temperature in degrees Celsius after converting it from Fahrenheit.
- The process starts by subtracting 32 from the Fahrenheit temperature because 32 degrees Fahrenheit is the freezing point of water, which corresponds to 0 degrees Celsius.
- The result of this subtraction is then multiplied by [tex]\(\frac{5}{9}\)[/tex] to account for the difference in scale size between Fahrenheit and Celsius degrees.
3. Conclusion:
- Therefore, [tex]\( C(F) \)[/tex] represents "the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius."
Thus, the correct interpretation of the function [tex]\( C(F) \)[/tex] is that it represents the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius.
Here's a breakdown of how the function works:
1. Understand the formula:
- The formula [tex]\( C(F) = \frac{5}{9}(F-32) \)[/tex] is specifically designed to change a temperature from the Fahrenheit scale to the Celsius scale.
- [tex]\( F \)[/tex] represents the temperature in degrees Fahrenheit.
- [tex]\( C(F) \)[/tex] is the result of the conversion from Fahrenheit to Celsius. This is the temperature in degrees Celsius.
2. Identify what [tex]\( C(F) \)[/tex] stands for:
- [tex]\( C(F) \)[/tex] provides the temperature in degrees Celsius after converting it from Fahrenheit.
- The process starts by subtracting 32 from the Fahrenheit temperature because 32 degrees Fahrenheit is the freezing point of water, which corresponds to 0 degrees Celsius.
- The result of this subtraction is then multiplied by [tex]\(\frac{5}{9}\)[/tex] to account for the difference in scale size between Fahrenheit and Celsius degrees.
3. Conclusion:
- Therefore, [tex]\( C(F) \)[/tex] represents "the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius."
Thus, the correct interpretation of the function [tex]\( C(F) \)[/tex] is that it represents the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius.
