High School

On his first day of school, Kareem found the high temperature to be 76.1°F. 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.

Answer :

C(76.1) represents the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.

The function C(F) = (5/9)(F - 32) is used to convert temperatures from degrees Fahrenheit to degrees Celsius. In this case, the input of the function is 76.1, which represents the temperature in degrees Fahrenheit. By substituting this value into the function, we can calculate the corresponding temperature in degrees Celsius.

To convert 76.1 degrees Fahrenheit to degrees Celsius, we plug it into the function: C(76.1) = (5/9)(76.1 - 32). By performing the necessary calculations, we can find the value of C(76.1), which represents the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius. Therefore, the correct answer is the first option: the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.


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Final answer:

C(76.1) represents the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius, using the function C(F) = five-ninths (F - 32).

Explanation:

The function C(F) = five-ninths (F - 32) is used to convert temperatures from degrees Fahrenheit to degrees Celsius. When Kareem plans to convert 76.1 degrees Fahrenheit to Celsius using this function, C(76.1) represents the result of this conversion.

Therefore, C(76.1) specifically represents the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius. This calculation allows for understanding and comparing temperatures across the two different scales commonly used internationally (Celsius) and primarily in the U.S. (Fahrenheit).