Answer :
Certainly! Let's break down the problem.
Siera wants to convert a temperature from degrees Fahrenheit to degrees Celsius using the given function:
[tex]\[ C(F) = \frac{5}{9} \times (F - 32) \][/tex]
This function helps convert a temperature value from Fahrenheit (F) to Celsius (C).
To understand what [tex]\( C(F) \)[/tex] represents, let's go through the function step by step:
1. Identify the Variable:
- F represents the temperature in degrees Fahrenheit that you want to convert.
2. Subtract 32:
- The formula subtracts 32 from the temperature in Fahrenheit. This step is crucial because 32 degrees Fahrenheit is the freezing point of water, which corresponds to 0 degrees Celsius.
3. Multiply by [tex]\(\frac{5}{9}\)[/tex]:
- The fraction [tex]\(\frac{5}{9}\)[/tex] is a conversion factor. This multiplication converts the adjusted Fahrenheit value to Celsius.
So, when you see [tex]\( C(F) \)[/tex], it refers to the result after using the formula to convert a temperature from Fahrenheit to Celsius.
Conclusion:
[tex]\( C(F) \)[/tex] represents "the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius". This matches the first choice in the provided options.
Siera wants to convert a temperature from degrees Fahrenheit to degrees Celsius using the given function:
[tex]\[ C(F) = \frac{5}{9} \times (F - 32) \][/tex]
This function helps convert a temperature value from Fahrenheit (F) to Celsius (C).
To understand what [tex]\( C(F) \)[/tex] represents, let's go through the function step by step:
1. Identify the Variable:
- F represents the temperature in degrees Fahrenheit that you want to convert.
2. Subtract 32:
- The formula subtracts 32 from the temperature in Fahrenheit. This step is crucial because 32 degrees Fahrenheit is the freezing point of water, which corresponds to 0 degrees Celsius.
3. Multiply by [tex]\(\frac{5}{9}\)[/tex]:
- The fraction [tex]\(\frac{5}{9}\)[/tex] is a conversion factor. This multiplication converts the adjusted Fahrenheit value to Celsius.
So, when you see [tex]\( C(F) \)[/tex], it refers to the result after using the formula to convert a temperature from Fahrenheit to Celsius.
Conclusion:
[tex]\( C(F) \)[/tex] represents "the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius". This matches the first choice in the provided options.
