Answer :
To solve this question, we need to understand what the function [tex]\( c(f) = \frac{5}{9}(f-32) \)[/tex] represents.
1. Identify the variables and function:
- [tex]\( c(f) \)[/tex] is a function that starts with [tex]\( f \)[/tex], which represents a temperature in degrees Fahrenheit.
- The expression [tex]\( \frac{5}{9}(f-32) \)[/tex] converts this temperature into another unit, specifically degrees Celsius.
2. Understand the conversion process:
- The formula [tex]\( c(f) = \frac{5}{9}(f-32) \)[/tex] is a well-known conversion formula used to change a temperature from degrees Fahrenheit to degrees Celsius.
- The first step is to subtract 32 from the Fahrenheit temperature ([tex]\( f-32 \)[/tex]). This adjusts for the offset in the zero points between the two scales.
- Next, the result is multiplied by [tex]\( \frac{5}{9} \)[/tex]. This scales the difference to reflect the proportion of a degree in the Celsius scale compared to the Fahrenheit scale.
3. Determine what [tex]\( C(F) \)[/tex] represents:
- Since the function starts with a Fahrenheit temperature [tex]\( f \)[/tex] and outputs a result in Celsius, [tex]\( C(F) \)[/tex] represents the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius.
4. Conclusion:
- The correct interpretation of [tex]\( C(F) \)[/tex] is: the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius.
Hence, the correct choice is: the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius.
1. Identify the variables and function:
- [tex]\( c(f) \)[/tex] is a function that starts with [tex]\( f \)[/tex], which represents a temperature in degrees Fahrenheit.
- The expression [tex]\( \frac{5}{9}(f-32) \)[/tex] converts this temperature into another unit, specifically degrees Celsius.
2. Understand the conversion process:
- The formula [tex]\( c(f) = \frac{5}{9}(f-32) \)[/tex] is a well-known conversion formula used to change a temperature from degrees Fahrenheit to degrees Celsius.
- The first step is to subtract 32 from the Fahrenheit temperature ([tex]\( f-32 \)[/tex]). This adjusts for the offset in the zero points between the two scales.
- Next, the result is multiplied by [tex]\( \frac{5}{9} \)[/tex]. This scales the difference to reflect the proportion of a degree in the Celsius scale compared to the Fahrenheit scale.
3. Determine what [tex]\( C(F) \)[/tex] represents:
- Since the function starts with a Fahrenheit temperature [tex]\( f \)[/tex] and outputs a result in Celsius, [tex]\( C(F) \)[/tex] represents the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius.
4. Conclusion:
- The correct interpretation of [tex]\( C(F) \)[/tex] is: the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius.
Hence, the correct choice is: the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius.