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

Sagot :

GinnyAnswer
To determine what \(C(76.1)\) represents, let's analyze the given information step by step.

1. We start with the high temperature in degrees Fahrenheit as \(76.1^{\circ}\).

2. Kareem plans to use the function \(C(F)=\frac{5}{9}(F-32)\) to convert this temperature from degrees Fahrenheit (F) to degrees Celsius (C).

3. The function \(C(F)=\frac{5}{9}(F-32)\) is used for converting Fahrenheit to Celsius. Here, \(F\) represents the temperature in Fahrenheit, and \(C(F)\) is the corresponding temperature in Celsius.

4. Applying the temperature \(76.1^{\circ}\) into the function means substituting \(F = 76.1\):
[tex]\[C(76.1) = \frac{5}{9}(76.1 - 32)\][/tex]

5. As we substitute \(76.1\) into the formula and process the calculation, we obtain the value of \(C(76.1)\) which is approximately:
[tex]\[24.499999999999996\][/tex]

Therefore, \(C(76.1)\) represents the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius. Among the given options, the correct answer is:

- the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.
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