Answer :
Certainly! Let's analyze the question step-by-step to understand what [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] represents.
1. Identify what [tex]\( F \)[/tex] stands for:
- [tex]\( F \)[/tex] represents the temperature in degrees Fahrenheit.
2. Identify what [tex]\( C(F) \)[/tex] stands for:
- [tex]\( C(F) \)[/tex] is a function that converts the temperature from degrees Fahrenheit to degrees Celsius.
3. Break down the function [tex]\( C(F) \)[/tex]:
- The formula [tex]\( \frac{5}{9}(F - 32) \)[/tex] is the standard formula used to convert a temperature given in degrees Fahrenheit ( [tex]\( F \)[/tex] ) to degrees Celsius ( [tex]\( C \)[/tex] ).
4. Interpret the purpose of the formula:
- By applying the formula [tex]\( \frac{5}{9}(F - 32) \)[/tex], we convert the temperature from Fahrenheit to Celsius.
Therefore, [tex]\( C(F) \)[/tex] represents:
[tex]\[ \text{the temperature of } F \text{ degrees Fahrenheit converted to degrees Celsius} \][/tex]
This matches one of the given options exactly.
So, the correct answer is:
the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius
1. Identify what [tex]\( F \)[/tex] stands for:
- [tex]\( F \)[/tex] represents the temperature in degrees Fahrenheit.
2. Identify what [tex]\( C(F) \)[/tex] stands for:
- [tex]\( C(F) \)[/tex] is a function that converts the temperature from degrees Fahrenheit to degrees Celsius.
3. Break down the function [tex]\( C(F) \)[/tex]:
- The formula [tex]\( \frac{5}{9}(F - 32) \)[/tex] is the standard formula used to convert a temperature given in degrees Fahrenheit ( [tex]\( F \)[/tex] ) to degrees Celsius ( [tex]\( C \)[/tex] ).
4. Interpret the purpose of the formula:
- By applying the formula [tex]\( \frac{5}{9}(F - 32) \)[/tex], we convert the temperature from Fahrenheit to Celsius.
Therefore, [tex]\( C(F) \)[/tex] represents:
[tex]\[ \text{the temperature of } F \text{ degrees Fahrenheit converted to degrees Celsius} \][/tex]
This matches one of the given options exactly.
So, the correct answer is:
the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius
