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Answer :
To determine what [tex]\( C(76.1) \)[/tex] represents, we need to understand the function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex], which is used to convert temperatures from degrees Fahrenheit to degrees Celsius.
1. Identify what [tex]\( F \)[/tex] stands for: In this context, [tex]\( F \)[/tex] is the temperature in degrees Fahrenheit. For this problem, [tex]\( F = 76.1 \)[/tex].
2. Understand what the function does: The function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] takes a temperature in Fahrenheit, subtracts 32, then multiplies the result by [tex]\(\frac{5}{9}\)[/tex]. This converts the temperature from Fahrenheit to Celsius.
3. Interpret [tex]\( C(76.1) \)[/tex]: When we plug 76.1 into the function [tex]\( C(F) \)[/tex], it calculates the equivalent temperature in degrees Celsius.
4. Result interpretation: Therefore, [tex]\( C(76.1) \)[/tex] represents the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.
Thus, the correct answer is:
- The temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.
1. Identify what [tex]\( F \)[/tex] stands for: In this context, [tex]\( F \)[/tex] is the temperature in degrees Fahrenheit. For this problem, [tex]\( F = 76.1 \)[/tex].
2. Understand what the function does: The function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] takes a temperature in Fahrenheit, subtracts 32, then multiplies the result by [tex]\(\frac{5}{9}\)[/tex]. This converts the temperature from Fahrenheit to Celsius.
3. Interpret [tex]\( C(76.1) \)[/tex]: When we plug 76.1 into the function [tex]\( C(F) \)[/tex], it calculates the equivalent temperature in degrees Celsius.
4. Result interpretation: Therefore, [tex]\( C(76.1) \)[/tex] represents the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.
Thus, the correct answer is:
- The temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.
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