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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 :

Sure! Let's go through what the function [tex]\( C(F) = \frac{5}{9}(F-32) \)[/tex] means and what [tex]\( C(F) \)[/tex] represents:

1. Understanding the function:
This function is used to convert a temperature from degrees Fahrenheit to degrees Celsius. In this equation:
- [tex]\( F \)[/tex] stands for the temperature in degrees Fahrenheit that you want to convert.
- [tex]\( C(F) \)[/tex] is the result, which will give you the temperature in degrees Celsius.

2. Analyzing what [tex]\( C(F) \)[/tex] represents:
When you input a temperature in degrees Fahrenheit ([tex]\( F \)[/tex]) into this function, it calculates and outputs the equivalent temperature in degrees Celsius.

3. Matching with the given options:
- The first option says, " [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." This perfectly describes our scenario: you input [tex]\( F \)[/tex] (Fahrenheit), and the function outputs [tex]\( C \)[/tex] (Celsius).
- The other options mix up units or functions, and do not describe the process of this conversion accurately.

Therefore, the correct answer is that [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.

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