High School

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 :

The question asks what [tex]\( C(76.1) \)[/tex] represents when using the function [tex]\( C(A) = \frac{5}{9}(F-32) \)[/tex].

To solve this, let's break it down step by step:

1. Understanding the Function:
- The function [tex]\( C(A) = \frac{5}{9}(F-32) \)[/tex] is used to convert a temperature from degrees Fahrenheit to degrees Celsius.
- [tex]\( F \)[/tex] represents the temperature in Fahrenheit that you want to convert.

2. Applying the Function:
- You are given a temperature of 76.1 degrees Fahrenheit.
- Therefore, [tex]\( F = 76.1 \)[/tex].

3. Interpretation of [tex]\( C(76.1) \)[/tex]:
- When you plug 76.1 into the function, [tex]\( C(76.1) \)[/tex] specifically represents the temperature of 76.1 degrees Fahrenheit converted into degrees Celsius.

Based on this interpretation and conversion, the correct choice is:

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