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 [tex]$C(F)$[/tex] represents, we need to understand the purpose of the function [tex]$C(F)$[/tex]. The problem describes a situation where Siera wants to convert temperatures from degrees Fahrenheit to degrees Celsius.
Let's consider the formula for converting Fahrenheit to Celsius:
[tex]\[ C = (F - 32) \times \frac{5}{9} \][/tex]
In this formula:
- [tex]\( C \)[/tex] is the temperature in degrees Celsius.
- [tex]\( F \)[/tex] is the temperature in degrees Fahrenheit.
- The conversion involves subtracting 32 from the Fahrenheit temperature, then multiplying by [tex]\(\frac{5}{9}\)[/tex].
Given this context, let's analyze the options provided:
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. Here, the function [tex]$C(F)$[/tex] outputs a temperature in degrees Celsius after converting the input temperature from degrees Fahrenheit.
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. The function is meant to output Celsius, not Fahrenheit, and the input is in Fahrenheit, not Celsius.
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. It reverses the roles of Celsius and Fahrenheit in the function's interpretation.
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 because it suggests that [tex]$F$[/tex] is a function, which it is not in this context.
After analyzing these options, the correct interpretation of [tex]$C(F)$[/tex] is the first option:
- [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.
Hence, the correct option is the first one.
Let's consider the formula for converting Fahrenheit to Celsius:
[tex]\[ C = (F - 32) \times \frac{5}{9} \][/tex]
In this formula:
- [tex]\( C \)[/tex] is the temperature in degrees Celsius.
- [tex]\( F \)[/tex] is the temperature in degrees Fahrenheit.
- The conversion involves subtracting 32 from the Fahrenheit temperature, then multiplying by [tex]\(\frac{5}{9}\)[/tex].
Given this context, let's analyze the options provided:
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. Here, the function [tex]$C(F)$[/tex] outputs a temperature in degrees Celsius after converting the input temperature from degrees Fahrenheit.
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. The function is meant to output Celsius, not Fahrenheit, and the input is in Fahrenheit, not Celsius.
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. It reverses the roles of Celsius and Fahrenheit in the function's interpretation.
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 because it suggests that [tex]$F$[/tex] is a function, which it is not in this context.
After analyzing these options, the correct interpretation of [tex]$C(F)$[/tex] is the first option:
- [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.
Hence, the correct option is the first one.
We appreciate you taking the time to read 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. We hope the insights shared have been helpful in deepening your understanding of the topic. Don't hesitate to browse our website for more valuable and informative content!
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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
