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 question about what [tex]\( C(F) \)[/tex] represents, let's break down the function and examine what each part means:
1. Function Definition: The function is given as [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex]. This is a mathematical formula used to convert a temperature from degrees Fahrenheit (F) to degrees Celsius (C).
2. Understanding the Function:
- The input to this function is [tex]\( F \)[/tex], which represents temperature in degrees Fahrenheit.
- The output of the function is [tex]\( C(F) \)[/tex], which represents temperature in degrees Celsius.
3. Purpose of the Function:
- The purpose of this function is to take a temperature value in Fahrenheit, apply the conversion formula, and produce the equivalent temperature in Celsius.
4. Analyzing the Choices:
- Choice 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 is correct because it accurately describes the function's purpose: converting Fahrenheit to Celsius.
- Choice 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 statement is incorrect because it describes an inverse situation that the function is not designed for.
- Choice 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 statement is incorrect because it reverses the input-output roles and units.
- Choice 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 statement is incorrect for similarly reversing the roles and misidentifying the units.
Based on this analysis, choice 1 is the correct interpretation of the function [tex]\( C(F) \)[/tex]. Therefore, [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.
1. Function Definition: The function is given as [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex]. This is a mathematical formula used to convert a temperature from degrees Fahrenheit (F) to degrees Celsius (C).
2. Understanding the Function:
- The input to this function is [tex]\( F \)[/tex], which represents temperature in degrees Fahrenheit.
- The output of the function is [tex]\( C(F) \)[/tex], which represents temperature in degrees Celsius.
3. Purpose of the Function:
- The purpose of this function is to take a temperature value in Fahrenheit, apply the conversion formula, and produce the equivalent temperature in Celsius.
4. Analyzing the Choices:
- Choice 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 is correct because it accurately describes the function's purpose: converting Fahrenheit to Celsius.
- Choice 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 statement is incorrect because it describes an inverse situation that the function is not designed for.
- Choice 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 statement is incorrect because it reverses the input-output roles and units.
- Choice 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 statement is incorrect for similarly reversing the roles and misidentifying the units.
Based on this analysis, choice 1 is the correct interpretation of the function [tex]\( C(F) \)[/tex]. Therefore, [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.
Rewritten by : Batagu
