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

Answer :

Certainly! Let's look at what the expression [tex]\(C(76.1)\)[/tex] represents.

To convert a temperature from degrees Fahrenheit to degrees Celsius, we use the formula:

[tex]\[ C(P) = \frac{5}{9}(F - 32) \][/tex]

In this context, [tex]\(F\)[/tex] represents the temperature in degrees Fahrenheit. Here, we're specifically looking at a temperature of [tex]\(76.1\)[/tex] degrees Fahrenheit.

So, the expression [tex]\(C(76.1)\)[/tex] means that we're taking the function [tex]\(C(P)\)[/tex] and substituting [tex]\(76.1\)[/tex] for [tex]\(F\)[/tex].

This represents:

- Using the formula to convert a temperature of [tex]\(76.1\)[/tex] degrees Fahrenheit into degrees Celsius.

Therefore, the interpretation of [tex]\(C(76.1)\)[/tex] is that it shows the temperature of [tex]\(76.1\)[/tex] degrees Fahrenheit converted to degrees Celsius.

The correct option is: the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.

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