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 go through the options to understand what [tex]\( C(F) \)[/tex] represents in this context.
You are given the function:
[tex]\[ C(F) = \frac{5}{9}(F - 32) \][/tex]
This function converts temperatures from degrees Fahrenheit (denoted by [tex]\( F \)[/tex]) to degrees Celsius (denoted by [tex]\( C(F) \)[/tex]).
Let's analyze each option to see which one correctly describes the function:
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.
- In this option, the function [tex]\( C(F) \)[/tex] receives an input in degrees Fahrenheit (which matches the variable [tex]\( F \)[/tex]) and converts it to degrees Celsius (indicating [tex]\( C(F) \)[/tex]).
- This description is accurate because the formula provided converts Fahrenheit to 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.
- Here, this option suggests that the function [tex]\( F \)[/tex] is converting from Celsius to Fahrenheit, which is not what is happening. The function [tex]\( C(F) \)[/tex] we have converts Fahrenheit to Celsius, not the other way around.
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 option suggests the conversion from Celsius to Fahrenheit, which is incorrect. Again, our given function takes Fahrenheit as input and gives Celsius as output.
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 option does not correctly describe the relationship. It incorrectly mentions the function [tex]\( F \)[/tex] and suggests input in Celsius, which is not the process described by [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex].
Based on the above analysis, the correct choice is:
[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 description of the function given for converting temperature from Fahrenheit to Celsius.
You are given the function:
[tex]\[ C(F) = \frac{5}{9}(F - 32) \][/tex]
This function converts temperatures from degrees Fahrenheit (denoted by [tex]\( F \)[/tex]) to degrees Celsius (denoted by [tex]\( C(F) \)[/tex]).
Let's analyze each option to see which one correctly describes the function:
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.
- In this option, the function [tex]\( C(F) \)[/tex] receives an input in degrees Fahrenheit (which matches the variable [tex]\( F \)[/tex]) and converts it to degrees Celsius (indicating [tex]\( C(F) \)[/tex]).
- This description is accurate because the formula provided converts Fahrenheit to 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.
- Here, this option suggests that the function [tex]\( F \)[/tex] is converting from Celsius to Fahrenheit, which is not what is happening. The function [tex]\( C(F) \)[/tex] we have converts Fahrenheit to Celsius, not the other way around.
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 option suggests the conversion from Celsius to Fahrenheit, which is incorrect. Again, our given function takes Fahrenheit as input and gives Celsius as output.
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 option does not correctly describe the relationship. It incorrectly mentions the function [tex]\( F \)[/tex] and suggests input in Celsius, which is not the process described by [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex].
Based on the above analysis, the correct choice is:
[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 description of the function given for converting temperature from Fahrenheit to Celsius.
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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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