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 :

To answer the question, let's break down the meaning of the function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex].

1. The function [tex]\( C(F) \)[/tex] is used to convert a temperature from one unit to another.
2. In the function [tex]\( C(F) \)[/tex]:
- [tex]\( F \)[/tex] represents the temperature in degrees Fahrenheit.
- [tex]\( C(F) \)[/tex] represents the corresponding temperature in degrees Celsius.

The formula itself:
- [tex]\( C(F) = \frac{5}{9} (F - 32) \)[/tex]
- This formula is used to convert a temperature [tex]\( F \)[/tex] from degrees Fahrenheit to degrees Celsius.

So, the interpretation of [tex]\( C(F) \)[/tex] is:
- It gives us the temperature in degrees Celsius when we input the temperature in degrees Fahrenheit.

Given the options:
1. The temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius.
2. The temperature of [tex]\( F \)[/tex] degrees Celsius converted to degrees Fahrenheit.
3. The temperature of [tex]\( C \)[/tex] degrees Fahrenheit converted to degrees Celsius.
4. The temperature of [tex]\( C \)[/tex] degrees Celsius converted to degrees Fahrenheit.

The correct option is:
- The temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius.

Thus, [tex]\( C(F) \)[/tex] represents:

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