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Answer :
To understand what the function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] represents, let's break it down:
1. Start with the formula: The function [tex]\( C(F) \)[/tex] is used to convert temperatures from degrees Fahrenheit to degrees Celsius.
2. Understanding the formula components:
- The formula [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] is derived from the relationship between Fahrenheit and Celsius scales.
- In the formula [tex]\( F \)[/tex] represents the temperature in degrees Fahrenheit that you want to convert.
3. Conversion process:
- The formula takes the Fahrenheit temperature [tex]\( F \)[/tex] and subtracts 32. This step adjusts the Fahrenheit scale by removing the offset for the freezing point of water.
- Then, it multiplies the result by [tex]\( \frac{5}{9} \)[/tex], which is the ratio of the sizes of the two degree units (Celsius and Fahrenheit). This scales the adjusted Fahrenheit temperature to Celsius.
4. Conclusion:
- Therefore, [tex]\( C(F) \)[/tex] represents the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius.
By carefully analyzing the function and the conversion process, we can confirm that [tex]\( C(F) \)[/tex] is the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius. This matches the first option provided in the question.
1. Start with the formula: The function [tex]\( C(F) \)[/tex] is used to convert temperatures from degrees Fahrenheit to degrees Celsius.
2. Understanding the formula components:
- The formula [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] is derived from the relationship between Fahrenheit and Celsius scales.
- In the formula [tex]\( F \)[/tex] represents the temperature in degrees Fahrenheit that you want to convert.
3. Conversion process:
- The formula takes the Fahrenheit temperature [tex]\( F \)[/tex] and subtracts 32. This step adjusts the Fahrenheit scale by removing the offset for the freezing point of water.
- Then, it multiplies the result by [tex]\( \frac{5}{9} \)[/tex], which is the ratio of the sizes of the two degree units (Celsius and Fahrenheit). This scales the adjusted Fahrenheit temperature to Celsius.
4. Conclusion:
- Therefore, [tex]\( C(F) \)[/tex] represents the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius.
By carefully analyzing the function and the conversion process, we can confirm that [tex]\( C(F) \)[/tex] is the temperature of [tex]\( F \)[/tex] degrees Fahrenheit converted to degrees Celsius. This matches the first option provided in the question.
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
