Answer :
The function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] is used to convert temperatures from degrees Fahrenheit to degrees Celsius.
Let's break down what [tex]\( C(F) \)[/tex] does:
1. Understand the Formula:
- The formula [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] takes a temperature value in degrees Fahrenheit (denoted as [tex]\( F \)[/tex]).
- It subtracts 32 from this Fahrenheit temperature, which is necessary because 32 degrees Fahrenheit is the freezing point of water.
2. Conversion Factor:
- The result is then multiplied by [tex]\( \frac{5}{9} \)[/tex]. This factor is used to scale the difference from Fahrenheit to Celsius.
3. What [tex]\( C(F) \)[/tex] Represents:
- After applying the formula, [tex]\( C(F) \)[/tex] gives the equivalent temperature in degrees Celsius.
Therefore, the correct interpretation of [tex]\( C(F) \)[/tex] is that it represents the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius. This means that when you use this function, you are taking a Fahrenheit temperature and finding out what that temperature would be when measured in Celsius.
Let's break down what [tex]\( C(F) \)[/tex] does:
1. Understand the Formula:
- The formula [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] takes a temperature value in degrees Fahrenheit (denoted as [tex]\( F \)[/tex]).
- It subtracts 32 from this Fahrenheit temperature, which is necessary because 32 degrees Fahrenheit is the freezing point of water.
2. Conversion Factor:
- The result is then multiplied by [tex]\( \frac{5}{9} \)[/tex]. This factor is used to scale the difference from Fahrenheit to Celsius.
3. What [tex]\( C(F) \)[/tex] Represents:
- After applying the formula, [tex]\( C(F) \)[/tex] gives the equivalent temperature in degrees Celsius.
Therefore, the correct interpretation of [tex]\( C(F) \)[/tex] is that it represents the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius. This means that when you use this function, you are taking a Fahrenheit temperature and finding out what that temperature would be when measured in Celsius.