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We're glad you stopped by 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. This page is here to walk you through essential details with clear and straightforward explanations. Our goal is to make your learning experience easy, enriching, and enjoyable. Start exploring and find the information you need!

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. [tex]C(F)[/tex] represents the output of the function [tex]C[/tex] in degrees Celsius when the input [tex]F[/tex] is in degrees Fahrenheit.
B. [tex]C(F)[/tex] represents the output of the function [tex]F[/tex] in degrees Fahrenheit when the input [tex]C[/tex] is in degrees Celsius.
C. [tex]C(F)[/tex] represents the output of the function [tex]C[/tex] in degrees Fahrenheit when the input [tex]F[/tex] is in degrees Celsius.
D. [tex]C(F)[/tex] represents the output of the function [tex]F[/tex] in degrees Celsius when the input [tex]C[/tex] is in degrees Fahrenheit.

Answer :

Certainly! Let's go through the question step-by-step to understand what [tex]$C(F)$[/tex] represents in the given function.

1. Understanding the Function: We have the function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex]. This function is used for converting a temperature from degrees Fahrenheit to degrees Celsius.

2. Identifying the Parts:
- [tex]\( F \)[/tex]: This variable represents the temperature in degrees Fahrenheit. It is the input to the function.
- [tex]\( C(F) \)[/tex]: This represents the output of the function. Since we are using the formula to convert Fahrenheit to Celsius, [tex]\( C(F) \)[/tex] will give the temperature in degrees Celsius.

3. What Does [tex]\( C(F) \)[/tex] Represent?: From understanding the function structure and purpose, [tex]\( C(F) \)[/tex] is the temperature in degrees Celsius after converting from Fahrenheit.

4. Choice Evaluation: Based on this understanding, we match this information with the provided options:
- "C(F) represents the output of the function C in degrees Celsius when the input F is in degrees Fahrenheit.": This statement correctly describes what [tex]\( C(F) \)[/tex] represents in the function. The input is in Fahrenheit, and the output is in Celsius after conversion.

Therefore, the correct interpretation is that [tex]\( C(F) \)[/tex] represents the output of the function in degrees Celsius when the input [tex]\( F \)[/tex] is in degrees Fahrenheit.

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