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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 the question step by step to understand what [tex]$C(F)$[/tex] represents.

1. Understand the Formula:
The function given is [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex]. This is a common formula used to convert temperatures from degrees Fahrenheit to degrees Celsius.

2. Identify the Components:
- [tex]\( C(F) \)[/tex] is the result of applying the function to convert a given temperature.
- [tex]\( F \)[/tex] is the input and represents the temperature in degrees Fahrenheit.

3. Determine the Output:
[tex]\( C(F) \)[/tex] takes the input [tex]\( F \)[/tex] in degrees Fahrenheit and converts it into degrees Celsius. Therefore, [tex]\( C(F) \)[/tex] is the output temperature in degrees Celsius after using the formula.

4. Choose the Correct Representation:
Given the options, we need to pick the one that correctly describes [tex]\( C(F) \)[/tex]:
- [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 matches the first option provided:
- [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.

Therefore, the correct representation is that [tex]$C(F)$[/tex] is the output in degrees Celsius when you input degrees Fahrenheit into the function.

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