Answer :
To answer the question, we need to understand what the function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] represents.
Here’s a detailed breakdown:
1. Understanding the Variables:
- [tex]\( F \)[/tex]: This represents the temperature in degrees Fahrenheit.
- [tex]\( C(F) \)[/tex]: This corresponds to the temperature in degrees Celsius that is calculated from the temperature [tex]\( F \)[/tex] in degrees Fahrenheit.
2. Function Analysis:
- The equation [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] is a commonly used formula to convert temperatures from Fahrenheit to Celsius.
3. Conversion Context:
- The expression [tex]\( \frac{5}{9}(F - 32) \)[/tex] transforms a given Fahrenheit temperature [tex]\( F \)[/tex] into a temperature in degrees Celsius.
4. Correct Interpretation:
- Therefore, [tex]\( C(F) \)[/tex] represents the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius.
From the options given:
- Option 1: The temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius – This is correct.
- Option 2: The temperature of [tex]\( F \)[/tex] degrees Celsius converted to degrees Fahrenheit – This is incorrect because [tex]\( F \)[/tex] should be in Fahrenheit.
- Option 3: The temperature of [tex]\( C \)[/tex] degrees Fahrenheit converted to degrees Celsius – This is incorrect because it refers to converting [tex]\( C \)[/tex] (which is Celsius in the function) back to Celsius.
- Option 4: The temperature of [tex]\( C \)[/tex] degrees Celsius converted to degrees Fahrenheit – This is incorrect as it refers to converting [tex]\( C \)[/tex] (Celsius) to Fahrenheit.
Therefore, the accurate statement is:
The temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius.
This matches with Option 1.
Here’s a detailed breakdown:
1. Understanding the Variables:
- [tex]\( F \)[/tex]: This represents the temperature in degrees Fahrenheit.
- [tex]\( C(F) \)[/tex]: This corresponds to the temperature in degrees Celsius that is calculated from the temperature [tex]\( F \)[/tex] in degrees Fahrenheit.
2. Function Analysis:
- The equation [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] is a commonly used formula to convert temperatures from Fahrenheit to Celsius.
3. Conversion Context:
- The expression [tex]\( \frac{5}{9}(F - 32) \)[/tex] transforms a given Fahrenheit temperature [tex]\( F \)[/tex] into a temperature in degrees Celsius.
4. Correct Interpretation:
- Therefore, [tex]\( C(F) \)[/tex] represents the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius.
From the options given:
- Option 1: The temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius – This is correct.
- Option 2: The temperature of [tex]\( F \)[/tex] degrees Celsius converted to degrees Fahrenheit – This is incorrect because [tex]\( F \)[/tex] should be in Fahrenheit.
- Option 3: The temperature of [tex]\( C \)[/tex] degrees Fahrenheit converted to degrees Celsius – This is incorrect because it refers to converting [tex]\( C \)[/tex] (which is Celsius in the function) back to Celsius.
- Option 4: The temperature of [tex]\( C \)[/tex] degrees Celsius converted to degrees Fahrenheit – This is incorrect as it refers to converting [tex]\( C \)[/tex] (Celsius) to Fahrenheit.
Therefore, the accurate statement is:
The temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius.
This matches with Option 1.
