College

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.

Answer :

To solve the problem, we need to understand what the function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] does. This function converts a temperature from degrees Fahrenheit ([tex]\( F \)[/tex]) to degrees Celsius ([tex]\( C \)[/tex]).

Given that Kareem found the high temperature to be 76.1 degrees Fahrenheit, when we apply this function, we are essentially converting 76.1 degrees Fahrenheit into degrees Celsius.

The function [tex]\( C(76.1) \)[/tex] specifically represents:

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

By entering 76.1 into the function, we find the equivalent temperature in degrees Celsius, which is approximately 24.5 degrees Celsius. Therefore, the correct interpretation is that 76.1 degrees Fahrenheit is equivalent to about 24.5 degrees Celsius.