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 solve the given problem, we need to understand what the function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] represents:
1. Identify the Purpose of the Function:
- The function [tex]\( C(F) \)[/tex] is used to convert a temperature value from degrees Fahrenheit (indicated by [tex]\( F \)[/tex]) to degrees Celsius.
2. Understanding the Notation:
- [tex]\( C(F) \)[/tex] indicates that the function uses [tex]\( F \)[/tex] (a temperature given in Fahrenheit) as an input and produces an output.
- The formula involves subtracting 32 from the Fahrenheit temperature and then multiplying the result by [tex]\(\frac{5}{9}\)[/tex], which is the standard formula to convert Fahrenheit to Celsius.
3. Analyze the Answer Choices:
- Choice 1: "C(F) represents the output of the function C in degrees Celsius when the input [tex]\( F \)[/tex] is in degrees Fahrenheit."
- This describes exactly what the function does: it converts temperatures from Fahrenheit to Celsius.
- Choice 2: "C(F) 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 because it reverses the roles of the variables and the conversion direction.
- Choice 3: "C(F) represents the output of the function [tex]\( C \)[/tex] in degrees Fahrenheit when the input [tex]\( F \)[/tex] is in degrees Gelsius."
- This contains a typo and also suggests the wrong temperature conversion direction.
- Choice 4: "C(F) represents the output of the function [tex]\( F \)[/tex] in degrees Celsius when the input [tex]\( C \)[/tex] is in degrees Fahrenheit."
- This option confuses the roles of the inputs and outputs; it does not describe the conversion correctly.
4. Conclusion:
- Based on the definitions and purpose of the function, the correct choice is the first one: "C(F) represents the output of the function C in degrees Celsius when the input [tex]\( F \)[/tex] is in degrees Fahrenheit."
This is the correct interpretation of what [tex]\( C(F) \)[/tex] represents, as it aligns with the function’s role in converting a Fahrenheit temperature to Celsius.
1. Identify the Purpose of the Function:
- The function [tex]\( C(F) \)[/tex] is used to convert a temperature value from degrees Fahrenheit (indicated by [tex]\( F \)[/tex]) to degrees Celsius.
2. Understanding the Notation:
- [tex]\( C(F) \)[/tex] indicates that the function uses [tex]\( F \)[/tex] (a temperature given in Fahrenheit) as an input and produces an output.
- The formula involves subtracting 32 from the Fahrenheit temperature and then multiplying the result by [tex]\(\frac{5}{9}\)[/tex], which is the standard formula to convert Fahrenheit to Celsius.
3. Analyze the Answer Choices:
- Choice 1: "C(F) represents the output of the function C in degrees Celsius when the input [tex]\( F \)[/tex] is in degrees Fahrenheit."
- This describes exactly what the function does: it converts temperatures from Fahrenheit to Celsius.
- Choice 2: "C(F) 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 because it reverses the roles of the variables and the conversion direction.
- Choice 3: "C(F) represents the output of the function [tex]\( C \)[/tex] in degrees Fahrenheit when the input [tex]\( F \)[/tex] is in degrees Gelsius."
- This contains a typo and also suggests the wrong temperature conversion direction.
- Choice 4: "C(F) represents the output of the function [tex]\( F \)[/tex] in degrees Celsius when the input [tex]\( C \)[/tex] is in degrees Fahrenheit."
- This option confuses the roles of the inputs and outputs; it does not describe the conversion correctly.
4. Conclusion:
- Based on the definitions and purpose of the function, the correct choice is the first one: "C(F) represents the output of the function C in degrees Celsius when the input [tex]\( F \)[/tex] is in degrees Fahrenheit."
This is the correct interpretation of what [tex]\( C(F) \)[/tex] represents, as it aligns with the function’s role in converting a Fahrenheit temperature to Celsius.
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- Why do authors use plot complications in stories A To resolve all a story s conflicts at once B To increase suspense and interest C
- 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.
Rewritten by : Batagu
