Answer :
Sure! Let's go through the process to understand what [tex]\( C(F) \)[/tex] represents in the context of converting temperatures from Fahrenheit to Celsius.
The given function is:
[tex]\[ C(F) = \frac{5}{9}(F - 32) \][/tex]
This formula is used to convert a temperature from degrees Fahrenheit (denoted as [tex]\( F \)[/tex]) to degrees Celsius (denoted as [tex]\( C \)[/tex]). Here's how it works step by step:
1. Start with the temperature in Fahrenheit: Suppose you have a temperature value in Fahrenheit. This is represented by [tex]\( F \)[/tex].
2. Subtract 32 from the Fahrenheit temperature: The first step in the conversion formula is to subtract 32 from the Fahrenheit value. This is because 32°F is the freezing point of water, which corresponds to 0°C in Celsius.
[tex]\[ F - 32 \][/tex]
3. Multiply the result by [tex]\(\frac{5}{9}\)[/tex]: The next step is to multiply the result by [tex]\(\frac{5}{9}\)[/tex]. The fraction [tex]\(\frac{5}{9}\)[/tex] is the ratio used to convert the adjusted temperature from Fahrenheit to Celsius.
[tex]\[ \frac{5}{9}(F - 32) \][/tex]
By applying this formula, you convert a temperature from degrees Fahrenheit to its equivalent temperature in degrees Celsius.
Therefore, [tex]\( C(F) \)[/tex] represents:
The temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius.
So the correct answer is:
The temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius.
The given function is:
[tex]\[ C(F) = \frac{5}{9}(F - 32) \][/tex]
This formula is used to convert a temperature from degrees Fahrenheit (denoted as [tex]\( F \)[/tex]) to degrees Celsius (denoted as [tex]\( C \)[/tex]). Here's how it works step by step:
1. Start with the temperature in Fahrenheit: Suppose you have a temperature value in Fahrenheit. This is represented by [tex]\( F \)[/tex].
2. Subtract 32 from the Fahrenheit temperature: The first step in the conversion formula is to subtract 32 from the Fahrenheit value. This is because 32°F is the freezing point of water, which corresponds to 0°C in Celsius.
[tex]\[ F - 32 \][/tex]
3. Multiply the result by [tex]\(\frac{5}{9}\)[/tex]: The next step is to multiply the result by [tex]\(\frac{5}{9}\)[/tex]. The fraction [tex]\(\frac{5}{9}\)[/tex] is the ratio used to convert the adjusted temperature from Fahrenheit to Celsius.
[tex]\[ \frac{5}{9}(F - 32) \][/tex]
By applying this formula, you convert a temperature from degrees Fahrenheit to its equivalent temperature in degrees Celsius.
Therefore, [tex]\( C(F) \)[/tex] represents:
The temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius.
So the correct answer is:
The temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius.