Answer :
To solve the problem of converting a temperature from degrees Fahrenheit to degrees Celsius using the function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex], we need to understand what the function signifies.
The function [tex]\( C(F) \)[/tex] is a formula that represents the conversion of temperature from Fahrenheit to Celsius. Here's how it works:
1. Identify the purpose of the function: [tex]\( C(F) \)[/tex] is used to convert temperatures measured in Fahrenheit (F) into temperatures measured in Celsius (C).
2. Understand the conversion formula: The formula to convert Fahrenheit to Celsius is given by:
[tex]\[
C(F) = \frac{5}{9}(F - 32)
\][/tex]
This formula states that you subtract 32 from the temperature in Fahrenheit, multiply the result by 5, and then divide by 9 to get the temperature in Celsius.
3. Interpret what [tex]\( C(F) \)[/tex] represents:
- [tex]\( C(F) \)[/tex] represents the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius. This is the primary interpretation for the function, meaning that if you have a temperature measured in Fahrenheit, you can use this formula to convert it into Celsius.
4. Choose the correct conceptual understanding:
- Among the given options, the accurate description of what [tex]\( C(F) \)[/tex] represents is: "the temperature of F degrees Fahrenheit converted to degrees Celsius."
This means that for any given temperature value in Fahrenheit, using the formula will yield the equivalent temperature in Celsius, providing a clear conversion between the two temperature scales.
The function [tex]\( C(F) \)[/tex] is a formula that represents the conversion of temperature from Fahrenheit to Celsius. Here's how it works:
1. Identify the purpose of the function: [tex]\( C(F) \)[/tex] is used to convert temperatures measured in Fahrenheit (F) into temperatures measured in Celsius (C).
2. Understand the conversion formula: The formula to convert Fahrenheit to Celsius is given by:
[tex]\[
C(F) = \frac{5}{9}(F - 32)
\][/tex]
This formula states that you subtract 32 from the temperature in Fahrenheit, multiply the result by 5, and then divide by 9 to get the temperature in Celsius.
3. Interpret what [tex]\( C(F) \)[/tex] represents:
- [tex]\( C(F) \)[/tex] represents the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius. This is the primary interpretation for the function, meaning that if you have a temperature measured in Fahrenheit, you can use this formula to convert it into Celsius.
4. Choose the correct conceptual understanding:
- Among the given options, the accurate description of what [tex]\( C(F) \)[/tex] represents is: "the temperature of F degrees Fahrenheit converted to degrees Celsius."
This means that for any given temperature value in Fahrenheit, using the formula will yield the equivalent temperature in Celsius, providing a clear conversion between the two temperature scales.