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Answer :
To solve the problem, we need to understand what the function [tex]\( C(F) = \frac{5}{9}(F-32) \)[/tex] is doing.
1. Identify the Function's Purpose:
The function [tex]\( C(F) \)[/tex] is used to convert temperatures from degrees Fahrenheit to degrees Celsius. This is clear from the formula, which is the standard conversion formula between these two units of temperature.
2. Understanding the Function Components:
- [tex]\( F \)[/tex] represents the temperature in degrees Fahrenheit.
- [tex]\( (F - 32) \)[/tex] adjusts the Fahrenheit temperature to align with the Celsius scale, since 32 degrees Fahrenheit is equivalent to 0 degrees Celsius.
- Multiply by [tex]\( \frac{5}{9} \)[/tex] to scale the adjusted Fahrenheit temperature to Celsius.
3. Determine What [tex]\( C(F) \)[/tex] Represents:
- [tex]\( C(F) \)[/tex] calculates the temperature in degrees Celsius that corresponds to the input Fahrenheit temperature [tex]\( F \)[/tex].
4. Select the Correct Description:
The function [tex]\( C(F) \)[/tex] represents the conversion of a given temperature [tex]\( F \)[/tex] from degrees Fahrenheit to degrees Celsius.
Therefore, the correct interpretation of [tex]\( C(F) \)[/tex] is: "the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius."
1. Identify the Function's Purpose:
The function [tex]\( C(F) \)[/tex] is used to convert temperatures from degrees Fahrenheit to degrees Celsius. This is clear from the formula, which is the standard conversion formula between these two units of temperature.
2. Understanding the Function Components:
- [tex]\( F \)[/tex] represents the temperature in degrees Fahrenheit.
- [tex]\( (F - 32) \)[/tex] adjusts the Fahrenheit temperature to align with the Celsius scale, since 32 degrees Fahrenheit is equivalent to 0 degrees Celsius.
- Multiply by [tex]\( \frac{5}{9} \)[/tex] to scale the adjusted Fahrenheit temperature to Celsius.
3. Determine What [tex]\( C(F) \)[/tex] Represents:
- [tex]\( C(F) \)[/tex] calculates the temperature in degrees Celsius that corresponds to the input Fahrenheit temperature [tex]\( F \)[/tex].
4. Select the Correct Description:
The function [tex]\( C(F) \)[/tex] represents the conversion of a given temperature [tex]\( F \)[/tex] from degrees Fahrenheit to degrees Celsius.
Therefore, the correct interpretation of [tex]\( C(F) \)[/tex] is: "the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius."
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