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 understand what [tex]\( C(F) \)[/tex] represents in the function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex], let's break it down:
1. Identify the Variables:
- [tex]\( F \)[/tex] represents a temperature in degrees Fahrenheit. This is the input of the function.
2. Understand the Function:
- The function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] is used to convert a temperature from degrees Fahrenheit to degrees Celsius. This is a standard formula for temperature conversion.
3. Apply the Mathematical Operation:
- Subtract 32 from the Fahrenheit temperature ([tex]\( F \)[/tex]). This adjusts the input correctly as 32°F is the freezing point of water and is used as a baseline in the conversion.
- Multiply the result by [tex]\( \frac{5}{9} \)[/tex]. This scales down the adjusted temperature from Fahrenheit to Celsius, as there are 5 Celsius degrees for every 9 Fahrenheit degrees.
4. Interpret the Output:
- The result of the function, [tex]\( C(F) \)[/tex], will give the corresponding temperature in degrees Celsius.
5. Conclusion:
- Therefore, [tex]\( C(F) \)[/tex] represents the output of the function in degrees Celsius when the input [tex]\( F \)[/tex] is in degrees Fahrenheit.
This means the correct interpretation 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. Identify the Variables:
- [tex]\( F \)[/tex] represents a temperature in degrees Fahrenheit. This is the input of the function.
2. Understand the Function:
- The function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] is used to convert a temperature from degrees Fahrenheit to degrees Celsius. This is a standard formula for temperature conversion.
3. Apply the Mathematical Operation:
- Subtract 32 from the Fahrenheit temperature ([tex]\( F \)[/tex]). This adjusts the input correctly as 32°F is the freezing point of water and is used as a baseline in the conversion.
- Multiply the result by [tex]\( \frac{5}{9} \)[/tex]. This scales down the adjusted temperature from Fahrenheit to Celsius, as there are 5 Celsius degrees for every 9 Fahrenheit degrees.
4. Interpret the Output:
- The result of the function, [tex]\( C(F) \)[/tex], will give the corresponding temperature in degrees Celsius.
5. Conclusion:
- Therefore, [tex]\( C(F) \)[/tex] represents the output of the function in degrees Celsius when the input [tex]\( F \)[/tex] is in degrees Fahrenheit.
This means the correct interpretation 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.
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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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