Answer :
To understand what [tex]\( C(F) \)[/tex] represents, let's break down the function:
The function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] is used to convert temperatures from degrees Fahrenheit to degrees Celsius.
Here's how the conversion works:
1. Subtract 32 from the Fahrenheit temperature: This step adjusts the Fahrenheit temperature to align with the Celsius scale's starting point, as 32°F is equivalent to 0°C on the Celsius scale.
2. Multiply by [tex]\(\frac{5}{9}\)[/tex]: This factor adjusts for the different scaling between the Fahrenheit and Celsius temperature scales. Each degree on the Fahrenheit scale is only 5/9 of a degree on the Celsius scale.
Given these steps, [tex]\( C(F) \)[/tex] represents the temperature in degrees Celsius when you start with a temperature of [tex]\( F \)[/tex] degrees Fahrenheit. Therefore, the correct interpretation is:
- The temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius.
This means that when you input a Fahrenheit temperature into the function [tex]\( C(F) \)[/tex], you will be provided with the equivalent temperature in Celsius.
The function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] is used to convert temperatures from degrees Fahrenheit to degrees Celsius.
Here's how the conversion works:
1. Subtract 32 from the Fahrenheit temperature: This step adjusts the Fahrenheit temperature to align with the Celsius scale's starting point, as 32°F is equivalent to 0°C on the Celsius scale.
2. Multiply by [tex]\(\frac{5}{9}\)[/tex]: This factor adjusts for the different scaling between the Fahrenheit and Celsius temperature scales. Each degree on the Fahrenheit scale is only 5/9 of a degree on the Celsius scale.
Given these steps, [tex]\( C(F) \)[/tex] represents the temperature in degrees Celsius when you start with a temperature of [tex]\( F \)[/tex] degrees Fahrenheit. Therefore, the correct interpretation is:
- The temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius.
This means that when you input a Fahrenheit temperature into the function [tex]\( C(F) \)[/tex], you will be provided with the equivalent temperature in Celsius.