Answer :
To solve the question, let's understand what the function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] is used for.
This function is a formula that converts temperatures from degrees Fahrenheit ([tex]\(F\)[/tex]) to degrees Celsius ([tex]\(C\)[/tex]). In this formula:
- [tex]\( F \)[/tex] is the temperature in degrees Fahrenheit that you want to convert.
- [tex]\( C(F) \)[/tex] is the resulting temperature in degrees Celsius after conversion.
The process looks like this:
1. You take the temperature in Fahrenheit ([tex]\(F\)[/tex]).
2. Subtract 32 from this Fahrenheit temperature. This step adjusts for the offset between the Fahrenheit and Celsius scales.
3. Multiply the result by [tex]\(\frac{5}{9}\)[/tex]. This ratio scales the adjusted temperature to the Celsius scale, which is smaller than the Fahrenheit scale.
The question asks what [tex]\( C(F) \)[/tex] represents.
Based on this understanding, [tex]\( C(F) \)[/tex] represents the output of the function [tex]\( C \)[/tex] in degrees Celsius when the input [tex]\( F \)[/tex] is in degrees Fahrenheit. This means [tex]\( C(F) \)[/tex] is the converted temperature in degrees Celsius corresponding to the input temperature in Fahrenheit.
This function is a formula that converts temperatures from degrees Fahrenheit ([tex]\(F\)[/tex]) to degrees Celsius ([tex]\(C\)[/tex]). In this formula:
- [tex]\( F \)[/tex] is the temperature in degrees Fahrenheit that you want to convert.
- [tex]\( C(F) \)[/tex] is the resulting temperature in degrees Celsius after conversion.
The process looks like this:
1. You take the temperature in Fahrenheit ([tex]\(F\)[/tex]).
2. Subtract 32 from this Fahrenheit temperature. This step adjusts for the offset between the Fahrenheit and Celsius scales.
3. Multiply the result by [tex]\(\frac{5}{9}\)[/tex]. This ratio scales the adjusted temperature to the Celsius scale, which is smaller than the Fahrenheit scale.
The question asks what [tex]\( C(F) \)[/tex] represents.
Based on this understanding, [tex]\( C(F) \)[/tex] represents the output of the function [tex]\( C \)[/tex] in degrees Celsius when the input [tex]\( F \)[/tex] is in degrees Fahrenheit. This means [tex]\( C(F) \)[/tex] is the converted temperature in degrees Celsius corresponding to the input temperature in Fahrenheit.