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On his first day of school, Kareem found the high temperature in degrees Fahrenheit to be [tex]76.1^\circ[/tex]. He plans to use the function [tex]C(F) = \frac{5}{9}(F-32)[/tex] to convert this temperature from degrees Fahrenheit to degrees Celsius. What does [tex]C(76.1)[/tex] represent?

A. The temperature of 76.1 degrees Celsius converted to degrees Fahrenheit.
B. The amount of time it takes a temperature of 76.1 degrees Celsius to be converted to 32 degrees Fahrenheit.
C. The amount of time it takes a temperature of 76.1 degrees Fahrenheit to be converted to 32 degrees Celsius.
D. The temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.

Answer :

To understand what [tex]\( C(76.1) \)[/tex] represents, we need to look at the context. Kareem is using the function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] to convert a temperature from degrees Fahrenheit to degrees Celsius.

In this context, [tex]\( C(76.1) \)[/tex] is the result of plugging in 76.1 (degrees Fahrenheit) into the function to get the temperature in degrees Celsius. Therefore, [tex]\( C(76.1) \)[/tex] represents the conversion of 76.1 degrees Fahrenheit to its equivalent temperature in degrees Celsius.

Now, let's determine which option correctly describes this:

1. The temperature of 76.1 degrees Celsius converted to degrees Fahrenheit:
- This is not correct. We are converting from Fahrenheit to Celsius, not the other way around.

2. The amount of time it takes a temperature of 76.1 degrees Celsius to be converted to 32 degrees Fahrenheit:
- This is not correct. The function does not measure time; it only converts temperatures.

3. The amount of time it takes a temperature of 76.1 degrees Fahrenheit to be converted to 32 degrees Celsius:
- This is also incorrect. Just like the previous option, this is about time, which the function does not handle.

4. The temperature of 76.1 degrees Fahrenheit converted to degrees Celsius:
- This is the correct interpretation. The function is used to calculate what 76.1 degrees Fahrenheit is in degrees Celsius.

Thus, [tex]\( C(76.1) \)[/tex] represents the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.

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