Answer :
Sure! Let's go through the concept step-by-step.
The function provided is [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex]. This function is used to convert temperatures from degrees Fahrenheit (F) to degrees Celsius (C).
Here's what each part of the function means:
1. [tex]\( F \)[/tex]: This represents the temperature in degrees Fahrenheit that you want to convert to degrees Celsius.
2. [tex]\( F - 32 \)[/tex]: When converting Fahrenheit to Celsius, you first subtract 32 from the Fahrenheit temperature because the Fahrenheit scale starts at 32 degrees for the melting point of ice, while the Celsius scale starts at 0 degrees for the same point.
3. [tex]\( \frac{5}{9} \)[/tex]: This fraction is the conversion factor between Fahrenheit and Celsius. Multiplying by [tex]\(\frac{5}{9}\)[/tex] is necessary because each Fahrenheit degree is smaller than each Celsius degree. This factor adjusts for that difference.
4. [tex]\( C(F) \)[/tex]: The expression [tex]\( C(F) \)[/tex] represents the temperature in degrees Celsius after converting from degrees Fahrenheit.
Therefore, [tex]\( C(F) \)[/tex] represents the temperature, originally measured in degrees Fahrenheit, converted to degrees Celsius.
In summary, the correct interpretation of [tex]\( C(F) \)[/tex] is:
"The temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius."
The function provided is [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex]. This function is used to convert temperatures from degrees Fahrenheit (F) to degrees Celsius (C).
Here's what each part of the function means:
1. [tex]\( F \)[/tex]: This represents the temperature in degrees Fahrenheit that you want to convert to degrees Celsius.
2. [tex]\( F - 32 \)[/tex]: When converting Fahrenheit to Celsius, you first subtract 32 from the Fahrenheit temperature because the Fahrenheit scale starts at 32 degrees for the melting point of ice, while the Celsius scale starts at 0 degrees for the same point.
3. [tex]\( \frac{5}{9} \)[/tex]: This fraction is the conversion factor between Fahrenheit and Celsius. Multiplying by [tex]\(\frac{5}{9}\)[/tex] is necessary because each Fahrenheit degree is smaller than each Celsius degree. This factor adjusts for that difference.
4. [tex]\( C(F) \)[/tex]: The expression [tex]\( C(F) \)[/tex] represents the temperature in degrees Celsius after converting from degrees Fahrenheit.
Therefore, [tex]\( C(F) \)[/tex] represents the temperature, originally measured in degrees Fahrenheit, converted to degrees Celsius.
In summary, the correct interpretation of [tex]\( C(F) \)[/tex] is:
"The temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius."