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!
Answer :
Certainly! Let's work through the options to determine what [tex]$C(F)$[/tex] represents when converting temperatures from Fahrenheit to Celsius.
The function given is [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex]. This function is used to convert a temperature from degrees Fahrenheit (denoted by [tex]\( F \)[/tex]) to degrees Celsius (denoted by [tex]\( C \)[/tex]).
Here's what each part of the function means:
- [tex]\( F \)[/tex] is the input value, which represents the temperature in Fahrenheit.
- [tex]\( C(F) \)[/tex] is the output value, which the function returns. This value is the temperature converted into Celsius.
Now, let's examine each of the provided options to see which correctly describes what [tex]\( C(F) \)[/tex] represents:
1. [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 statement correctly describes the function. The function [tex]\( C(F) \)[/tex] takes a temperature in Fahrenheit as input, calculates, and returns the temperature in Celsius.
2. [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.
This is incorrect. The function [tex]\( C(F) \)[/tex] does not convert from Celsius to Fahrenheit, nor does it give an output in Fahrenheit.
3. [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.
This is incorrect as well. The function [tex]\( C(F) \)[/tex] does not operate in this manner. The inputs and outputs are the opposite of what this statement describes.
4. [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.
This is also incorrect. The statement confuses the roles of the input [tex]\( F \)[/tex] and the output [tex]\( C(F) \)[/tex].
Considering all these options, the best description of [tex]\( C(F) \)[/tex] is provided by option 1. Thus, [tex]\( C(F) \)[/tex] represents the output of the function in degrees Celsius when the input [tex]\( F \)[/tex] is in degrees Fahrenheit.
The function given is [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex]. This function is used to convert a temperature from degrees Fahrenheit (denoted by [tex]\( F \)[/tex]) to degrees Celsius (denoted by [tex]\( C \)[/tex]).
Here's what each part of the function means:
- [tex]\( F \)[/tex] is the input value, which represents the temperature in Fahrenheit.
- [tex]\( C(F) \)[/tex] is the output value, which the function returns. This value is the temperature converted into Celsius.
Now, let's examine each of the provided options to see which correctly describes what [tex]\( C(F) \)[/tex] represents:
1. [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 statement correctly describes the function. The function [tex]\( C(F) \)[/tex] takes a temperature in Fahrenheit as input, calculates, and returns the temperature in Celsius.
2. [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.
This is incorrect. The function [tex]\( C(F) \)[/tex] does not convert from Celsius to Fahrenheit, nor does it give an output in Fahrenheit.
3. [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.
This is incorrect as well. The function [tex]\( C(F) \)[/tex] does not operate in this manner. The inputs and outputs are the opposite of what this statement describes.
4. [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.
This is also incorrect. The statement confuses the roles of the input [tex]\( F \)[/tex] and the output [tex]\( C(F) \)[/tex].
Considering all these options, the best description of [tex]\( C(F) \)[/tex] is provided by option 1. Thus, [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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- 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.
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