Answer :
Certainly! Let's go through this step-by-step.
Siera is looking to convert a temperature from degrees Fahrenheit (°F) to degrees Celsius (°C) using the function provided:
[tex]\[ C(F) = \frac{5}{9} \times (F - 32) \][/tex]
Here's how this function works:
1. Understanding the Variables:
- [tex]\( F \)[/tex] is the temperature in degrees Fahrenheit.
- [tex]\( C(F) \)[/tex] is the temperature converted into degrees Celsius.
2. Conversion Formula Explanation:
- The formula [tex]\( C(F) = \frac{5}{9} \times (F - 32) \)[/tex] is used to convert a given temperature from Fahrenheit to Celsius.
- The reason behind the formula comes from the relationship between the Fahrenheit and Celsius scales. The scales differ in their starting points (32°F is equivalent to 0°C), and their unit size (a Celsius degree is 9/5 of a Fahrenheit degree).
3. What [tex]\( C(F) \)[/tex] Represents:
- The expression [tex]\( C(F) \)[/tex] represents the result you get when you input a temperature in Fahrenheit into the formula. This result is the equivalent temperature in Celsius.
- Therefore, [tex]\( C(F) \)[/tex] stands for "the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius."
So, the correct interpretation of what [tex]\( C(F) \)[/tex] represents is:
The temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius.
Siera is looking to convert a temperature from degrees Fahrenheit (°F) to degrees Celsius (°C) using the function provided:
[tex]\[ C(F) = \frac{5}{9} \times (F - 32) \][/tex]
Here's how this function works:
1. Understanding the Variables:
- [tex]\( F \)[/tex] is the temperature in degrees Fahrenheit.
- [tex]\( C(F) \)[/tex] is the temperature converted into degrees Celsius.
2. Conversion Formula Explanation:
- The formula [tex]\( C(F) = \frac{5}{9} \times (F - 32) \)[/tex] is used to convert a given temperature from Fahrenheit to Celsius.
- The reason behind the formula comes from the relationship between the Fahrenheit and Celsius scales. The scales differ in their starting points (32°F is equivalent to 0°C), and their unit size (a Celsius degree is 9/5 of a Fahrenheit degree).
3. What [tex]\( C(F) \)[/tex] Represents:
- The expression [tex]\( C(F) \)[/tex] represents the result you get when you input a temperature in Fahrenheit into the formula. This result is the equivalent temperature in Celsius.
- Therefore, [tex]\( C(F) \)[/tex] stands for "the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius."
So, the correct interpretation of what [tex]\( C(F) \)[/tex] represents is:
The temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius.
