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Answer :
To determine what [tex]\( C(F) \)[/tex] represents in the function [tex]\( C(F) = \frac{5}{9}(F-32) \)[/tex], let's break down the problem step-by-step:
1. Understand the Function:
The function given is [tex]\( C(F) = \frac{5}{9}(F-32) \)[/tex].
2. Identify Variables and Constants:
- [tex]\( F \)[/tex] stands for degrees Fahrenheit.
- [tex]\( C(F) \)[/tex] stands for degrees Celsius, which is a function of [tex]\( F \)[/tex].
3. Conversion Formula:
The formula [tex]\( C(F) = \frac{5}{9}(F-32) \)[/tex] is a standard formula used to convert a temperature given in Fahrenheit ( [tex]\( F \)[/tex] ) into Celsius ( [tex]\( C \)[/tex] ).
4. Interpret [tex]\( C(F) \)[/tex]:
By substituting a Fahrenheit temperature [tex]\( F \)[/tex] into the function [tex]\( C(F) \)[/tex], we get the corresponding temperature in Celsius.
5. Conclusion:
Therefore, [tex]\( C(F) \)[/tex] represents the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius.
Thus, [tex]\( C(F) \)[/tex] represents:
The temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius.
1. Understand the Function:
The function given is [tex]\( C(F) = \frac{5}{9}(F-32) \)[/tex].
2. Identify Variables and Constants:
- [tex]\( F \)[/tex] stands for degrees Fahrenheit.
- [tex]\( C(F) \)[/tex] stands for degrees Celsius, which is a function of [tex]\( F \)[/tex].
3. Conversion Formula:
The formula [tex]\( C(F) = \frac{5}{9}(F-32) \)[/tex] is a standard formula used to convert a temperature given in Fahrenheit ( [tex]\( F \)[/tex] ) into Celsius ( [tex]\( C \)[/tex] ).
4. Interpret [tex]\( C(F) \)[/tex]:
By substituting a Fahrenheit temperature [tex]\( F \)[/tex] into the function [tex]\( C(F) \)[/tex], we get the corresponding temperature in Celsius.
5. Conclusion:
Therefore, [tex]\( C(F) \)[/tex] represents the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius.
Thus, [tex]\( C(F) \)[/tex] represents:
The temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius.
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