Answer :
To solve the question about what [tex]\( C(F) \)[/tex] represents in the function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex], let's first break down the function and its components.
1. The function [tex]\( C(F) \)[/tex] is defined as [tex]\( \frac{5}{9}(F - 32) \)[/tex].
2. Here, [tex]\( F \)[/tex] represents a temperature in degrees Fahrenheit.
3. The formula [tex]\( \frac{5}{9}(F - 32) \)[/tex] is a standard formula used to convert temperatures from degrees Fahrenheit to degrees Celsius.
Let’s understand the key components:
- [tex]\( F \)[/tex] stands for the temperature in degrees Fahrenheit.
- [tex]\( C(F) \)[/tex] calculates the temperature in degrees Celsius.
Given this, [tex]\( C(F) \)[/tex] corresponds to the temperature of [tex]\( F \)[/tex] degrees Fahrenheit after it has been converted to degrees Celsius.
So, the correct interpretation of [tex]\( C(F) \)[/tex] is:
the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius
Therefore, the correct answer to what [tex]\( C(F) \)[/tex] represents is:
- the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius.
To further illustrate, if you want to convert a specific temperature from Fahrenheit to Celsius, you just plug the Fahrenheit value into [tex]\( F \)[/tex] and calculate using the formula. For example, if [tex]\( F = 100 \)[/tex] degrees Fahrenheit:
[tex]\[ C(100) = \frac{5}{9}(100 - 32) = \frac{5}{9} \times 68 \approx 37.78 \][/tex]
This confirms that 100 degrees Fahrenheit is approximately 37.78 degrees Celsius, showing the function [tex]\( C(F) \)[/tex] indeed converts Fahrenheit to Celsius.
1. The function [tex]\( C(F) \)[/tex] is defined as [tex]\( \frac{5}{9}(F - 32) \)[/tex].
2. Here, [tex]\( F \)[/tex] represents a temperature in degrees Fahrenheit.
3. The formula [tex]\( \frac{5}{9}(F - 32) \)[/tex] is a standard formula used to convert temperatures from degrees Fahrenheit to degrees Celsius.
Let’s understand the key components:
- [tex]\( F \)[/tex] stands for the temperature in degrees Fahrenheit.
- [tex]\( C(F) \)[/tex] calculates the temperature in degrees Celsius.
Given this, [tex]\( C(F) \)[/tex] corresponds to the temperature of [tex]\( F \)[/tex] degrees Fahrenheit after it has been converted to degrees Celsius.
So, the correct interpretation of [tex]\( C(F) \)[/tex] is:
the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius
Therefore, the correct answer to what [tex]\( C(F) \)[/tex] represents is:
- the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius.
To further illustrate, if you want to convert a specific temperature from Fahrenheit to Celsius, you just plug the Fahrenheit value into [tex]\( F \)[/tex] and calculate using the formula. For example, if [tex]\( F = 100 \)[/tex] degrees Fahrenheit:
[tex]\[ C(100) = \frac{5}{9}(100 - 32) = \frac{5}{9} \times 68 \approx 37.78 \][/tex]
This confirms that 100 degrees Fahrenheit is approximately 37.78 degrees Celsius, showing the function [tex]\( C(F) \)[/tex] indeed converts Fahrenheit to Celsius.