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(n)=\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're using a function that converts temperatures from degrees Fahrenheit to degrees Celsius. The function is defined as [tex]\( C(n) = \frac{5}{9}(f - 32) \)[/tex].

When we are asked to interpret what [tex]\( C(76.1) \)[/tex] represents, let's break it down:

1. Starting with the function [tex]\( C(n) = \frac{5}{9}(f - 32) \)[/tex]:
- This function takes a temperature in degrees Fahrenheit (denoted by [tex]\( f \)[/tex]) and converts it to temperature in degrees Celsius.

2. Input [tex]\( f = 76.1 \)[/tex]:
- Here, we substitute [tex]\( f \)[/tex] with 76.1 because Kareem recorded a high temperature of 76.1 degrees Fahrenheit.

3. Interpretation of [tex]\( C(76.1) \)[/tex]:
- By applying the given function, [tex]\( C(76.1) \)[/tex] calculates the Celsius equivalent of the input temperature of 76.1 degrees Fahrenheit.

Therefore, [tex]\( C(76.1) \)[/tex] represents the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius. The answer to the multiple-choice question is:

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