Answer :
Sure! Let’s break down the problem step by step.
Siera wants to convert the average high temperature from degrees Fahrenheit to degrees Celsius using the function [tex]\(C(F) = \frac{5}{9}(F - 32)\)[/tex].
### Understanding the Function
- [tex]\(F\)[/tex] represents the temperature in degrees Fahrenheit.
- [tex]\(C(F)\)[/tex] is the result of the conversion, which represents the temperature in degrees Celsius.
To determine what [tex]\(C(F)\)[/tex] represents, let's interpret the function mathematically:
1. [tex]\(F\)[/tex] is the input to the function and it is the temperature in degrees Fahrenheit.
2. The function [tex]\(C(F)\)[/tex] converts this temperature from degrees Fahrenheit to degrees Celsius.
### Options Given
Let's look at the options and see which one correctly describes what [tex]\(C(F)\)[/tex] represents:
1. The temperature of [tex]\(F\)[/tex] degrees Fahrenheit converted to degrees Celsius.
2. The temperature of [tex]\(F\)[/tex] degrees Celsius converted to degrees Fahrenheit.
3. The temperature of [tex]\(C\)[/tex] degrees Fahrenheit converted to degrees Celsius.
4. The temperature of [tex]\(C\)[/tex] degrees Celsius converted to degrees Fahrenheit.
### Analysis of Each Option
- Option 1: This option correctly states that [tex]\(C(F)\)[/tex] is the conversion of the temperature [tex]\(F\)[/tex] (in degrees Fahrenheit) to degrees Celsius.
- Option 2: This option incorrectly states that [tex]\(F\)[/tex] is in degrees Celsius and being converted to Fahrenheit, which is not accurate as per the function.
- Option 3: This option suggests that [tex]\(C\)[/tex] is a temperature value in degrees Fahrenheit being converted, which does not match our function.
- Option 4: This option implies [tex]\(C\)[/tex] is a value in degrees Celsius being converted, which again does not match our function.
### Conclusion
The correct answer is:
The temperature of [tex]\(F\)[/tex] degrees Fahrenheit converted to degrees Celsius.
Thus, [tex]\(C(F)\)[/tex] represents the temperature of [tex]\(F\)[/tex] degrees Fahrenheit converted to degrees Celsius.
Siera wants to convert the average high temperature from degrees Fahrenheit to degrees Celsius using the function [tex]\(C(F) = \frac{5}{9}(F - 32)\)[/tex].
### Understanding the Function
- [tex]\(F\)[/tex] represents the temperature in degrees Fahrenheit.
- [tex]\(C(F)\)[/tex] is the result of the conversion, which represents the temperature in degrees Celsius.
To determine what [tex]\(C(F)\)[/tex] represents, let's interpret the function mathematically:
1. [tex]\(F\)[/tex] is the input to the function and it is the temperature in degrees Fahrenheit.
2. The function [tex]\(C(F)\)[/tex] converts this temperature from degrees Fahrenheit to degrees Celsius.
### Options Given
Let's look at the options and see which one correctly describes what [tex]\(C(F)\)[/tex] represents:
1. The temperature of [tex]\(F\)[/tex] degrees Fahrenheit converted to degrees Celsius.
2. The temperature of [tex]\(F\)[/tex] degrees Celsius converted to degrees Fahrenheit.
3. The temperature of [tex]\(C\)[/tex] degrees Fahrenheit converted to degrees Celsius.
4. The temperature of [tex]\(C\)[/tex] degrees Celsius converted to degrees Fahrenheit.
### Analysis of Each Option
- Option 1: This option correctly states that [tex]\(C(F)\)[/tex] is the conversion of the temperature [tex]\(F\)[/tex] (in degrees Fahrenheit) to degrees Celsius.
- Option 2: This option incorrectly states that [tex]\(F\)[/tex] is in degrees Celsius and being converted to Fahrenheit, which is not accurate as per the function.
- Option 3: This option suggests that [tex]\(C\)[/tex] is a temperature value in degrees Fahrenheit being converted, which does not match our function.
- Option 4: This option implies [tex]\(C\)[/tex] is a value in degrees Celsius being converted, which again does not match our function.
### Conclusion
The correct answer is:
The temperature of [tex]\(F\)[/tex] degrees Fahrenheit converted to degrees Celsius.
Thus, [tex]\(C(F)\)[/tex] represents the temperature of [tex]\(F\)[/tex] degrees Fahrenheit converted to degrees Celsius.
