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Answer :
To determine what [tex]\( C(76.1) \)[/tex] represents, we should first understand the conversion function Kareem is using:
The function [tex]\( C(F) = \frac{5}{9}(F-32) \)[/tex] is a mathematical formula used to convert a temperature from degrees Fahrenheit (F) to degrees Celsius (C).
Now, let's break down the options given:
1. The temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.
This option suggests that [tex]\( C(76.1) \)[/tex] involves taking a Fahrenheit temperature of 76.1 degrees and converting it to Celsius using the function [tex]\( C(F) \)[/tex].
2. The temperature of 76.1 degrees Celsius converted to degrees Fahrenheit.
This option concerns converting a Celsius temperature of 76.1 degrees to Fahrenheit. However, the function used is specifically for converting from Fahrenheit to Celsius, so this option is incorrect.
3. The amount of time it takes a temperature of 76.1 degrees Fahrenheit to be converted to 32 degrees Celsius.
This option involves time, which is not part of the objectives of the conversion function. The formula given does not measure time; it simply converts temperature values.
4. The amount of time it takes a temperature of 76.1 degrees Celsius to be converted to 32 degrees Fahrenheit.
Similar to the previous option, this also incorrectly involves time and is irrelevant to the temperature conversion function provided.
Given these explanations and the common use for the function [tex]\( C(F) = \frac{5}{9}(F-32) \)[/tex], the correct interpretation is:
The temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.
This means that by using the function, we convert 76.1 degrees Fahrenheit into the corresponding degrees Celsius, which is approximately 24.5 degrees Celsius.
The function [tex]\( C(F) = \frac{5}{9}(F-32) \)[/tex] is a mathematical formula used to convert a temperature from degrees Fahrenheit (F) to degrees Celsius (C).
Now, let's break down the options given:
1. The temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.
This option suggests that [tex]\( C(76.1) \)[/tex] involves taking a Fahrenheit temperature of 76.1 degrees and converting it to Celsius using the function [tex]\( C(F) \)[/tex].
2. The temperature of 76.1 degrees Celsius converted to degrees Fahrenheit.
This option concerns converting a Celsius temperature of 76.1 degrees to Fahrenheit. However, the function used is specifically for converting from Fahrenheit to Celsius, so this option is incorrect.
3. The amount of time it takes a temperature of 76.1 degrees Fahrenheit to be converted to 32 degrees Celsius.
This option involves time, which is not part of the objectives of the conversion function. The formula given does not measure time; it simply converts temperature values.
4. The amount of time it takes a temperature of 76.1 degrees Celsius to be converted to 32 degrees Fahrenheit.
Similar to the previous option, this also incorrectly involves time and is irrelevant to the temperature conversion function provided.
Given these explanations and the common use for the function [tex]\( C(F) = \frac{5}{9}(F-32) \)[/tex], the correct interpretation is:
The temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.
This means that by using the function, we convert 76.1 degrees Fahrenheit into the corresponding degrees Celsius, which is approximately 24.5 degrees Celsius.
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