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 :

Sure! Let's break down the question and understand what [tex]\( C(F) \)[/tex] represents:

You have the function that converts a temperature from degrees Fahrenheit to degrees Celsius:
[tex]\[ C(f) = \frac{5}{9}(f - 32) \][/tex]

Here’s what each part means:
- [tex]\( f \)[/tex] represents the temperature in degrees Fahrenheit.
- [tex]\( C(f) \)[/tex] is the result of applying this function to [tex]\( f \)[/tex].

The function [tex]\( C(f) = \frac{5}{9}(f - 32) \)[/tex] takes the temperature in degrees Fahrenheit ([tex]\( f \)[/tex]), subtracts 32 from it, and then multiplies the result by [tex]\(\frac{5}{9}\)[/tex]. This process converts the temperature from Fahrenheit to Celsius.

Now, let’s evaluate each of the given choices:
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

When we examine the correct description of [tex]\( C(f) \)[/tex], it fits perfectly with the first statement:

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

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

Hence, the correct answer is:
- The temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius