High School

On his first day of school, Kareem used the function [tex]C(F)=\frac{5}{9}(F-32)[/tex] to convert temperature from degrees Fahrenheit to degrees Celsius. What does the result of this function 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.

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

Answer :

Certainly! Let's address this question step-by-step:

We have been provided with a function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex]. This function is used to convert a temperature from degrees Fahrenheit (F) to degrees Celsius (C).

To determine what happens when we convert a temperature of 76.1 degrees Fahrenheit using this formula, we can substitute [tex]\( F = 76.1 \)[/tex] into the formula.

Here are the steps to convert 76.1 degrees Fahrenheit to degrees Celsius:

1. Subtract 32 from the Fahrenheit temperature:
[tex]\[
76.1 - 32 = 44.1
\][/tex]

2. Multiply the result by [tex]\(\frac{5}{9}\)[/tex]:
[tex]\[
\frac{5}{9} \times 44.1 \approx 24.5
\][/tex]

Therefore, the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius is approximately 24.5 degrees Celsius.

With this result, the correct interpretation is that the temperature of 76.1 degrees Fahrenheit is converted to degrees Celsius.