High School

On his first day of school, Kareem found the high temperature in degrees Fahrenheit to be [tex]$76.1^{\circ}F$[/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 :

Sure! Let's walk through the problem step-by-step.

We are given the temperature in degrees Fahrenheit, which is [tex]\(76.1^\circ F\)[/tex]. We want to convert this temperature to degrees Celsius using the function:

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

Here, [tex]\(F\)[/tex] is the temperature in degrees Fahrenheit and [tex]\(C(F)\)[/tex] is the temperature in degrees Celsius.

To find [tex]\(C(76.1)\)[/tex]:

1. Substitute the given Fahrenheit temperature into the equation:
[tex]\[ C(76.1) = \frac{5}{9}(76.1 - 32) \][/tex]

2. Simplify inside the parentheses first:
[tex]\[ 76.1 - 32 = 44.1 \][/tex]

3. Multiply by [tex]\(\frac{5}{9}\)[/tex]:
[tex]\[ C(76.1) = \frac{5}{9} \times 44.1 \][/tex]

4. Perform the multiplication:
[tex]\[ \frac{5}{9} \times 44.1 \approx 24.5 \][/tex]

Therefore, [tex]\(C(76.1)\)[/tex] represents the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.

The correct answer is:
- The temperature of 76.1 degrees Fahrenheit converted to degrees Celsius