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Answer :
To solve the problem of understanding what [tex]\( C(F) \)[/tex] represents in the function [tex]\( C(F) = \frac{5}{9}(F-32) \)[/tex], let's break it down:
1. Understanding the Function [tex]\( C(F) = \frac{5}{9}(F-32) \)[/tex]:
- This function is used to convert temperatures from degrees Fahrenheit to degrees Celsius.
- The input [tex]\( F \)[/tex] represents a temperature in degrees Fahrenheit.
2. Conversion Process:
- The formula involves subtracting 32 from the Fahrenheit temperature, which is the first step in adjusting for the offset between the Fahrenheit and Celsius scales.
- Then, the result is multiplied by [tex]\(\frac{5}{9}\)[/tex]. This scales the difference to align with the Celsius scale, since the ratio of the degrees between the two scales is 9/5.
3. What [tex]\( C(F) \)[/tex] Represents:
- Given that the input [tex]\( F \)[/tex] is in degrees Fahrenheit, the function performs the conversion to give a temperature in degrees Celsius.
- Therefore, [tex]\( C(F) \)[/tex] represents the temperature in degrees Celsius after converting from [tex]\( F \)[/tex] degrees Fahrenheit.
4. Conclusion:
- The correct interpretation of [tex]\( C(F) \)[/tex] is: "the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius."
This aligns with the option that states: "the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius."
1. Understanding the Function [tex]\( C(F) = \frac{5}{9}(F-32) \)[/tex]:
- This function is used to convert temperatures from degrees Fahrenheit to degrees Celsius.
- The input [tex]\( F \)[/tex] represents a temperature in degrees Fahrenheit.
2. Conversion Process:
- The formula involves subtracting 32 from the Fahrenheit temperature, which is the first step in adjusting for the offset between the Fahrenheit and Celsius scales.
- Then, the result is multiplied by [tex]\(\frac{5}{9}\)[/tex]. This scales the difference to align with the Celsius scale, since the ratio of the degrees between the two scales is 9/5.
3. What [tex]\( C(F) \)[/tex] Represents:
- Given that the input [tex]\( F \)[/tex] is in degrees Fahrenheit, the function performs the conversion to give a temperature in degrees Celsius.
- Therefore, [tex]\( C(F) \)[/tex] represents the temperature in degrees Celsius after converting from [tex]\( F \)[/tex] degrees Fahrenheit.
4. Conclusion:
- The correct interpretation of [tex]\( C(F) \)[/tex] is: "the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius."
This aligns with the option that states: "the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius."
Thank you for reading the article 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 information provided is useful and helps you understand this topic better. Feel free to explore more helpful content on our website!
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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 : Jeany
