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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 explore what [tex]\( C(F) \)[/tex] represents step-by-step.

The function given is:

[tex]\[ C(F) = \frac{5}{9}(F - 32) \][/tex]

1. Understanding the Function:
This function is used to convert temperatures from degrees Fahrenheit to degrees Celsius.

2. Understanding the Inputs and Outputs:
- The input to this function is [tex]\( F \)[/tex], which represents the temperature in degrees Fahrenheit.
- The output of this function is [tex]\( C(F) \)[/tex], which represents the temperature in degrees Celsius.

3. Conversion Explanation:
- The formula [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] is a standard formula for converting Fahrenheit to Celsius.
- The term [tex]\( F - 32 \)[/tex] adjusts for the difference in the zero points of the two scales.
- Multiplying by [tex]\( \frac{5}{9} \)[/tex] converts the temperature difference from the Fahrenheit scale to the Celsius scale.

4. Conclusion:
Therefore, [tex]\( C(F) \)[/tex] represents the output of the function [tex]\( C \)[/tex], which gives the temperature in degrees Celsius when the input [tex]\( F \)[/tex] is the temperature in degrees Fahrenheit.

Thus, the correct interpretation of [tex]\( C(F) \)[/tex] is:
"C(F) 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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