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 :
Sure! Let's break down the problem and find the correct meaning of [tex]\( C(F) \)[/tex] in the context of converting temperatures from Fahrenheit to Celsius.
The function provided is:
[tex]\[ C(F) = \frac{5}{9}(F - 32) \][/tex]
1. Understanding the Function:
- [tex]\( F \)[/tex] represents the temperature in degrees Fahrenheit.
- The function [tex]\( C(F) \)[/tex] calculates the equivalent temperature in degrees Celsius.
2. Formula Explanation:
- The formula inside the function, [tex]\( \frac{5}{9}(F - 32) \)[/tex], is used to convert a temperature given in Fahrenheit to Celsius.
- It subtracts 32 from [tex]\( F \)[/tex] because this is the freezing point of water in Fahrenheit, and multiplies by [tex]\( \frac{5}{9} \)[/tex] to account for the scaling difference between Fahrenheit and Celsius degrees.
3. Meaning of [tex]\( C(F) \)[/tex]:
- Since [tex]\( C(F) \)[/tex] represents the result after converting [tex]\( F \)[/tex] (degrees Fahrenheit) into degrees Celsius, it means:
- [tex]\( C(F) \)[/tex] is the output of the function [tex]\( C \)[/tex] in degrees Celsius when the input [tex]\( F \)[/tex] is in degrees Fahrenheit.
4. Answer Selection:
- Given the options:
- 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.
- 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.
- 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.
- 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.
- The correct choice is Option 1 because it accurately describes that [tex]\( C(F) \)[/tex] gives the temperature in Celsius given the Fahrenheit temperature [tex]\( F \)[/tex].
So, the correct interpretation of [tex]\( C(F) \)[/tex] is that it represents the temperature in degrees Celsius when the input temperature is in degrees Fahrenheit.
The function provided is:
[tex]\[ C(F) = \frac{5}{9}(F - 32) \][/tex]
1. Understanding the Function:
- [tex]\( F \)[/tex] represents the temperature in degrees Fahrenheit.
- The function [tex]\( C(F) \)[/tex] calculates the equivalent temperature in degrees Celsius.
2. Formula Explanation:
- The formula inside the function, [tex]\( \frac{5}{9}(F - 32) \)[/tex], is used to convert a temperature given in Fahrenheit to Celsius.
- It subtracts 32 from [tex]\( F \)[/tex] because this is the freezing point of water in Fahrenheit, and multiplies by [tex]\( \frac{5}{9} \)[/tex] to account for the scaling difference between Fahrenheit and Celsius degrees.
3. Meaning of [tex]\( C(F) \)[/tex]:
- Since [tex]\( C(F) \)[/tex] represents the result after converting [tex]\( F \)[/tex] (degrees Fahrenheit) into degrees Celsius, it means:
- [tex]\( C(F) \)[/tex] is the output of the function [tex]\( C \)[/tex] in degrees Celsius when the input [tex]\( F \)[/tex] is in degrees Fahrenheit.
4. Answer Selection:
- Given the options:
- 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.
- 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.
- 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.
- 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.
- The correct choice is Option 1 because it accurately describes that [tex]\( C(F) \)[/tex] gives the temperature in Celsius given the Fahrenheit temperature [tex]\( F \)[/tex].
So, the correct interpretation of [tex]\( C(F) \)[/tex] is that it represents the temperature in degrees Celsius when the input temperature 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!
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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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