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 when converting temperatures from degrees Fahrenheit to degrees Celsius using the function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex], let's break down what each part of the function and its terms mean.
1. Function Definition:
- The function is defined as [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex].
- Here, [tex]\( C(F) \)[/tex] represents the output of the function, which gives us a temperature value.
- The input to the function is [tex]\( F \)[/tex], which represents the temperature in degrees Fahrenheit.
2. Purpose of the Function:
- The function's purpose is to convert a temperature from degrees Fahrenheit to degrees Celsius. This is evident from the formula:
- The term [tex]\( (F - 32) \)[/tex] adjusts for the difference in the starting point of the Fahrenheit and Celsius scales.
- Multiplying by [tex]\(\frac{5}{9}\)[/tex] converts the interval size (how temperature scales measure changes in temperature) from Fahrenheit to Celsius.
3. Interpreting [tex]$C(F)$[/tex]:
- The notation [tex]\( C(F) \)[/tex] means we are taking a Fahrenheit temperature, processing it through the function, and obtaining a Celsius temperature.
- Therefore, [tex]\( C(F) \)[/tex] is indeed a Celsius temperature after conversion from the Fahrenheit input.
4. Choosing the Correct Option:
- Based on the explanation above, the correct interpretation is that [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.
Therefore, the correct option 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."
1. Function Definition:
- The function is defined as [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex].
- Here, [tex]\( C(F) \)[/tex] represents the output of the function, which gives us a temperature value.
- The input to the function is [tex]\( F \)[/tex], which represents the temperature in degrees Fahrenheit.
2. Purpose of the Function:
- The function's purpose is to convert a temperature from degrees Fahrenheit to degrees Celsius. This is evident from the formula:
- The term [tex]\( (F - 32) \)[/tex] adjusts for the difference in the starting point of the Fahrenheit and Celsius scales.
- Multiplying by [tex]\(\frac{5}{9}\)[/tex] converts the interval size (how temperature scales measure changes in temperature) from Fahrenheit to Celsius.
3. Interpreting [tex]$C(F)$[/tex]:
- The notation [tex]\( C(F) \)[/tex] means we are taking a Fahrenheit temperature, processing it through the function, and obtaining a Celsius temperature.
- Therefore, [tex]\( C(F) \)[/tex] is indeed a Celsius temperature after conversion from the Fahrenheit input.
4. Choosing the Correct Option:
- Based on the explanation above, the correct interpretation is that [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.
Therefore, the correct option 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."
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!
- 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
