Answer :
To solve this problem, we need to understand what the function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] represents. This function is used to convert a temperature from degrees Fahrenheit to degrees Celsius. Here's a step-by-step explanation:
1. Identify the Variables:
- [tex]\( F \)[/tex] represents a temperature in degrees Fahrenheit.
- [tex]\( C(F) \)[/tex] represents the corresponding temperature in degrees Celsius after conversion.
2. Understand the Formula:
- The formula [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] is used to change a measurement in Fahrenheit to one in Celsius. It adjusts the Fahrenheit temperature by first subtracting 32 (because 32°F is the freezing point of water) and then multiplying by [tex]\(\frac{5}{9}\)[/tex] to account for the different size of the degree units in Celsius.
3. Meaning of [tex]\( C(F) \)[/tex]:
- Therefore, [tex]\( C(F) \)[/tex] is the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius.
To summarize, the formula given converts temperatures from degrees Fahrenheit to degrees Celsius. So, [tex]\( C(F) \)[/tex] represents the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius.
1. Identify the Variables:
- [tex]\( F \)[/tex] represents a temperature in degrees Fahrenheit.
- [tex]\( C(F) \)[/tex] represents the corresponding temperature in degrees Celsius after conversion.
2. Understand the Formula:
- The formula [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] is used to change a measurement in Fahrenheit to one in Celsius. It adjusts the Fahrenheit temperature by first subtracting 32 (because 32°F is the freezing point of water) and then multiplying by [tex]\(\frac{5}{9}\)[/tex] to account for the different size of the degree units in Celsius.
3. Meaning of [tex]\( C(F) \)[/tex]:
- Therefore, [tex]\( C(F) \)[/tex] is the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius.
To summarize, the formula given converts temperatures from degrees Fahrenheit to degrees Celsius. So, [tex]\( C(F) \)[/tex] represents the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius.
