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Answer :
To solve this problem, we need to understand what the function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] represents. This function is used to convert a temperature from degrees Fahrenheit to degrees Celsius.
Here's a step-by-step explanation:
1. Identify the Purpose of the Function:
- The function [tex]\( C(F) \)[/tex] is designed to convert temperatures. The formula specifies that when you input a temperature in degrees Fahrenheit, it performs a specific calculation to give you the corresponding temperature in degrees Celsius.
2. Understand the Components of the Function:
- In the function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex]:
- [tex]\( F \)[/tex] represents the input temperature in degrees Fahrenheit.
- The expression [tex]\( \frac{5}{9}(F - 32) \)[/tex] is the formula that converts Fahrenheit to Celsius.
3. Determine What [tex]\( C(F) \)[/tex] Means:
- The output of this function, [tex]\( C(F) \)[/tex], is the result of the conversion which is measured in degrees Celsius.
- Therefore, [tex]\( C(F) \)[/tex] gives you the temperature in Celsius when you have initially provided the temperature in Fahrenheit.
4. Select the Correct Description:
- From the options provided:
- “[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” is the correct description.
By following these steps, we understand that [tex]\( C(F) \)[/tex] indeed represents the temperature in degrees Celsius that corresponds to an input temperature in degrees Fahrenheit.
Here's a step-by-step explanation:
1. Identify the Purpose of the Function:
- The function [tex]\( C(F) \)[/tex] is designed to convert temperatures. The formula specifies that when you input a temperature in degrees Fahrenheit, it performs a specific calculation to give you the corresponding temperature in degrees Celsius.
2. Understand the Components of the Function:
- In the function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex]:
- [tex]\( F \)[/tex] represents the input temperature in degrees Fahrenheit.
- The expression [tex]\( \frac{5}{9}(F - 32) \)[/tex] is the formula that converts Fahrenheit to Celsius.
3. Determine What [tex]\( C(F) \)[/tex] Means:
- The output of this function, [tex]\( C(F) \)[/tex], is the result of the conversion which is measured in degrees Celsius.
- Therefore, [tex]\( C(F) \)[/tex] gives you the temperature in Celsius when you have initially provided the temperature in Fahrenheit.
4. Select the Correct Description:
- From the options provided:
- “[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” is the correct description.
By following these steps, we understand that [tex]\( C(F) \)[/tex] indeed represents the temperature in degrees Celsius that corresponds to an input temperature 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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