High School

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 :

To solve this question, we need to understand what the function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] does.

1. Understand the function: The function [tex]\( C(F) \)[/tex] converts a temperature from degrees Fahrenheit to degrees Celsius.

2. Break down the formula:
- [tex]\( F \)[/tex] represents the input temperature in degrees Fahrenheit.
- [tex]\( F - 32 \)[/tex] adjusts the Fahrenheit temperature by subtracting 32, which is part of the conversion process to Celsius.
- [tex]\( \frac{5}{9} \)[/tex] is the factor that converts the adjusted Fahrenheit temperature to Celsius.

3. Identify what [tex]\( C(F) \)[/tex] represents: Based on the explanation of the formula, [tex]\( C(F) \)[/tex] calculates the temperature in degrees Celsius when given a temperature in degrees Fahrenheit.

4. Choose the correct interpretation:
- The temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius.

In conclusion, [tex]\( C(F) \)[/tex] represents the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius. This corresponds to the first option:

- The temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius

So the answer is:
The temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius.