Answer :
To understand what the function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] represents, let's break down the options provided:
1. The temperature of 76.1 degrees Fahrenheit converted to degrees Celsius: This option means taking the temperature given in Fahrenheit (76.1 degrees) and using the function to convert it into Celsius.
2. The temperature of 76.1 degrees Celsius converted to degrees Fahrenheit: This option suggests converting from Celsius to Fahrenheit, which is not what the function [tex]\( C(F) \)[/tex] does.
3. The amount of time it takes a temperature of 76.1 degrees Fahrenheit to be...: This is incomplete and does not logically fit temperature conversion.
4. The amount of time it takes a temperature of 76.1 degrees Celsius to be...: Again, this is incomplete and doesn't apply to temperature conversion.
Now, considering the function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex], this is the standard equation for converting temperatures from Fahrenheit (F) to Celsius (C). When we apply this function to the Fahrenheit temperature of 76.1 degrees, we get the Celsius equivalent.
Therefore, converting 76.1 degrees Fahrenheit into Celsius with this function, the result is approximately 24.5 degrees Celsius. This confirms that the function is used to convert Fahrenheit to Celsius.
So, the correct interpretation of what [tex]\( C(76.1) \)[/tex] represents is:
- The temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.
1. The temperature of 76.1 degrees Fahrenheit converted to degrees Celsius: This option means taking the temperature given in Fahrenheit (76.1 degrees) and using the function to convert it into Celsius.
2. The temperature of 76.1 degrees Celsius converted to degrees Fahrenheit: This option suggests converting from Celsius to Fahrenheit, which is not what the function [tex]\( C(F) \)[/tex] does.
3. The amount of time it takes a temperature of 76.1 degrees Fahrenheit to be...: This is incomplete and does not logically fit temperature conversion.
4. The amount of time it takes a temperature of 76.1 degrees Celsius to be...: Again, this is incomplete and doesn't apply to temperature conversion.
Now, considering the function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex], this is the standard equation for converting temperatures from Fahrenheit (F) to Celsius (C). When we apply this function to the Fahrenheit temperature of 76.1 degrees, we get the Celsius equivalent.
Therefore, converting 76.1 degrees Fahrenheit into Celsius with this function, the result is approximately 24.5 degrees Celsius. This confirms that the function is used to convert Fahrenheit to Celsius.
So, the correct interpretation of what [tex]\( C(76.1) \)[/tex] represents is:
- The temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.