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Answer :
To understand what [tex]\( C(76.1) \)[/tex] represents, we need to look at the function [tex]\( C(F) = \frac{5}{9}(F-32) \)[/tex]. This function is used to convert temperatures from degrees Fahrenheit to degrees Celsius.
Let's break it down:
1. Identify the function and its purpose: The function [tex]\( C(F) \)[/tex] is used to convert temperatures given in Fahrenheit to temperatures in Celsius. The formula is designed to do this conversion.
2. Determine what [tex]\( C(76.1) \)[/tex] means: Here, [tex]\( F \)[/tex] is 76.1, which is the temperature in degrees Fahrenheit. Plugging this value into the function gives us the equivalent temperature in degrees Celsius.
3. What does this mean for the problem: When we input 76.1 into the function, it will calculate the Celsius equivalent. Therefore, [tex]\( C(76.1) \)[/tex] specifically represents the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.
So, the correct interpretation is:
- The temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.
This step-by-step understanding shows how the function [tex]\( C(F) \)[/tex] is used to convert temperatures, and what [tex]\( C(76.1) \)[/tex] represents in this context.
Let's break it down:
1. Identify the function and its purpose: The function [tex]\( C(F) \)[/tex] is used to convert temperatures given in Fahrenheit to temperatures in Celsius. The formula is designed to do this conversion.
2. Determine what [tex]\( C(76.1) \)[/tex] means: Here, [tex]\( F \)[/tex] is 76.1, which is the temperature in degrees Fahrenheit. Plugging this value into the function gives us the equivalent temperature in degrees Celsius.
3. What does this mean for the problem: When we input 76.1 into the function, it will calculate the Celsius equivalent. Therefore, [tex]\( C(76.1) \)[/tex] specifically represents the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.
So, the correct interpretation is:
- The temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.
This step-by-step understanding shows how the function [tex]\( C(F) \)[/tex] is used to convert temperatures, and what [tex]\( C(76.1) \)[/tex] represents in this context.
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