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 :
To determine what the function [tex]\( C(F) \)[/tex] represents, we need to understand its context and mathematical purpose. The function provided is:
[tex]\[ C(F) = \frac{5}{9}(F - 32) \][/tex]
This equation is used to convert temperatures from degrees Fahrenheit ([tex]\( F \)[/tex]) to degrees Celsius ([tex]\( C \)[/tex]). Let's break down the options provided in the question:
1. Option 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.
2. Option 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.
3. Option 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.
4. Option 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.
To make sense of these:
- Option 1 correctly describes the function's purpose. The function [tex]\( C(F) \)[/tex] converts a temperature from Fahrenheit to Celsius. The output [tex]\( C(F) \)[/tex] is in degrees Celsius, and the input [tex]\( F \)[/tex] is in degrees Fahrenheit.
- Option 2 is incorrect because it mistakenly swaps the roles of [tex]\( F \)[/tex] and [tex]\( C \)[/tex].
- Option 3 is incorrect because it suggests the output is in Fahrenheit, which goes against the function's conversion goal.
- Option 4 incorrectly swaps the roles and mistakenly suggests invert transformation.
Therefore, the correct option is Option 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.
[tex]\[ C(F) = \frac{5}{9}(F - 32) \][/tex]
This equation is used to convert temperatures from degrees Fahrenheit ([tex]\( F \)[/tex]) to degrees Celsius ([tex]\( C \)[/tex]). Let's break down the options provided in the question:
1. Option 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.
2. Option 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.
3. Option 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.
4. Option 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.
To make sense of these:
- Option 1 correctly describes the function's purpose. The function [tex]\( C(F) \)[/tex] converts a temperature from Fahrenheit to Celsius. The output [tex]\( C(F) \)[/tex] is in degrees Celsius, and the input [tex]\( F \)[/tex] is in degrees Fahrenheit.
- Option 2 is incorrect because it mistakenly swaps the roles of [tex]\( F \)[/tex] and [tex]\( C \)[/tex].
- Option 3 is incorrect because it suggests the output is in Fahrenheit, which goes against the function's conversion goal.
- Option 4 incorrectly swaps the roles and mistakenly suggests invert transformation.
Therefore, the correct option is Option 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.
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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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