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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.
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