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Answer :
To find out what [tex]\( C(76.1) \)[/tex] represents, we need to understand the function [tex]\( C(F) = \frac{5}{9}(F-32) \)[/tex]. This function is used to convert a temperature from degrees Fahrenheit to degrees Celsius.
The function takes an input [tex]\( F \)[/tex], which represents a temperature in degrees Fahrenheit, and outputs [tex]\( C(F) \)[/tex], which represents the equivalent temperature in degrees Celsius.
So when we calculate [tex]\( C(76.1) \)[/tex], we are converting the temperature from Fahrenheit to Celsius using the given formula. Here's what each part of the question represents:
- "the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius" matches what [tex]\( C(76.1) \)[/tex] is doing since it takes the Fahrenheit temperature of 76.1 and converts it to Celsius.
- "the temperature of 76.1 degrees Celsius converted to degrees Fahrenheit" would involve converting from Celsius to Fahrenheit, which is not what the function does.
- "the amount of time it takes a temperature of 76.1 degrees Fahrenheit to be converted to 32 degrees Celsius" is not relevant because the function deals with temperature conversion, not time.
- "the amount of time it takes a temperature of 76.1 degrees Celsius to be converted to 32 degrees Fahrenheit" also refers to time, which is not applicable here.
Therefore, the correct interpretation of [tex]\( C(76.1) \)[/tex] is: the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.
The function takes an input [tex]\( F \)[/tex], which represents a temperature in degrees Fahrenheit, and outputs [tex]\( C(F) \)[/tex], which represents the equivalent temperature in degrees Celsius.
So when we calculate [tex]\( C(76.1) \)[/tex], we are converting the temperature from Fahrenheit to Celsius using the given formula. Here's what each part of the question represents:
- "the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius" matches what [tex]\( C(76.1) \)[/tex] is doing since it takes the Fahrenheit temperature of 76.1 and converts it to Celsius.
- "the temperature of 76.1 degrees Celsius converted to degrees Fahrenheit" would involve converting from Celsius to Fahrenheit, which is not what the function does.
- "the amount of time it takes a temperature of 76.1 degrees Fahrenheit to be converted to 32 degrees Celsius" is not relevant because the function deals with temperature conversion, not time.
- "the amount of time it takes a temperature of 76.1 degrees Celsius to be converted to 32 degrees Fahrenheit" also refers to time, which is not applicable here.
Therefore, the correct interpretation of [tex]\( C(76.1) \)[/tex] is: the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.
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