College

For one month, Siera calculated her hometown's average high temperature in degrees Fahrenheit. She wants to convert that temperature from degrees Fahrenheit to degrees Celsius using the function [tex]C(F)=\frac{5}{9}(F-32)[/tex]. What does [tex]C(F)[/tex] represent?

A. The temperature of [tex]F[/tex] degrees Fahrenheit converted to degrees Celsius
B. The temperature of [tex]F[/tex] degrees Celsius converted to degrees Fahrenheit
C. The temperature of [tex]C[/tex] degrees Fahrenheit converted to degrees Celsius
D. The temperature of [tex]C[/tex] degrees Celsius converted to degrees Fahrenheit

Answer :

Certainly! Let's go through the question step by step to understand what [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] represents:

1. Understanding the Formula:
- The function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] is a known formula used to convert temperatures from degrees Fahrenheit (°F) to degrees Celsius (°C).
- In this formula:
- [tex]\( F \)[/tex] represents the temperature in degrees Fahrenheit.
- [tex]\( C(F) \)[/tex] represents the temperature once it has been converted to degrees Celsius.

2. Identifying What [tex]\( C(F) \)[/tex] Represents:
- Since [tex]\( C(F) \)[/tex] is the result of applying the conversion formula, it stands for the temperature in degrees Celsius.
- The initial input [tex]\( F \)[/tex] is a temperature in degrees Fahrenheit.
- After applying the formula, [tex]\( C(F) \)[/tex] gives the equivalent temperature in degrees Celsius.

3. Conclusion:
- Therefore, [tex]\( C(F) \)[/tex] represents "the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius."

So, the correct choice in the given options is:
- The temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius.