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 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 :

Let's delve into the steps involved in solving the given problem.

To convert the temperature from degrees Fahrenheit to degrees Celsius, we use the formula:
[tex]\[ C(F) = \frac{5}{9} (F - 32) \][/tex]

Where:
- [tex]\(C(F)\)[/tex] is the temperature in degrees Celsius
- [tex]\(F\)[/tex] is the temperature in degrees Fahrenheit

Given:
[tex]\[ F = 76.1 \text{ degrees Fahrenheit} \][/tex]

We need to substitute [tex]\(76.1\)[/tex] into the formula to find the temperature in degrees Celsius.

[tex]\[ C(76.1) = \frac{5}{9} (76.1 - 32) \][/tex]

First, calculate the expression inside the parentheses:
[tex]\[ 76.1 - 32 = 44.1 \][/tex]

Next, multiply this result by [tex]\(\frac{5}{9}\)[/tex]:
[tex]\[ C(76.1) = \frac{5}{9} \times 44.1 \][/tex]

After performing this multiplication, we get:
[tex]\[ C(76.1) = 24.50 \][/tex]

Thus, [tex]\( C(76.1) \)[/tex] represents the temperature of [tex]\( 76.1 \)[/tex] degrees Fahrenheit converted to degrees Celsius, which is approximately [tex]\( 24.5 \)[/tex] degrees Celsius.

Among the given options, the correct answer is:

- the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius