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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

Thanks for taking the time to read 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. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

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