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In Mathematics / High School | 2025-07-03

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.

Asked by nate082216

Answer (2)

The function C ( F ) converts Fahrenheit to Celsius.
F represents the temperature in degrees Fahrenheit.
C ( F ) represents the equivalent temperature in degrees Celsius.
Therefore, C ( F ) is the output in Celsius when F (Fahrenheit) is the input. The answer is: C ( F ) represents the output of the function C in degrees Celsius when the input F is in degrees Fahrenheit ​

Explanation

Understanding the Problem The problem states that Siera wants to convert a temperature from degrees Fahrenheit to degrees Celsius using the function C ( F ) = 9 5 ​ ( F − 32 ) . We need to determine what C ( F ) represents.

Determining the Meaning of C(F) The function C ( F ) takes a temperature in degrees Fahrenheit, denoted by F , as input. The function then outputs the equivalent temperature in degrees Celsius. Therefore, C ( F ) represents the temperature in degrees Celsius when the input is a temperature in degrees Fahrenheit.

Conclusion Based on the analysis, C ( F ) represents the output of the function C in degrees Celsius when the input F is in degrees Fahrenheit.


Examples
Imagine you are a weather forecaster in the United States, where temperatures are commonly reported in degrees Fahrenheit. However, you need to provide the temperature in degrees Celsius for an international audience. Using the function C ( F ) = 9 5 ​ ( F − 32 ) , you can easily convert the Fahrenheit temperature to Celsius. For example, if the temperature is 77°F, you can calculate C ( 77 ) = 9 5 ​ ( 77 − 32 ) = 9 5 ​ ( 45 ) = 25° C . This conversion allows you to communicate the temperature effectively to people who use the Celsius scale.

Answered by GinnyAnswer | 2025-07-03

The function C ( F ) = 9 5 ​ ( F − 32 ) converts a temperature from degrees Fahrenheit (input F ) to degrees Celsius (output C ( F ) ). Therefore, the answer is option A, which states that C ( F ) represents the output in degrees Celsius when the input is in degrees Fahrenheit.
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Answered by Anonymous | 2025-07-04

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