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.
D. The amount of time it takes for a temperature of 76.1 degrees Celsius to be converted to 32 degrees Fahrenheit.

Answer :

To understand what [tex]\( C(76.1) \)[/tex] represents, let's break it down step by step:

1. Understand the formula: The function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] is used to convert temperatures from degrees Fahrenheit to degrees Celsius. It takes a temperature in Fahrenheit as input and gives the corresponding temperature in Celsius as output.

2. Apply the formula: Here, [tex]\( F = 76.1 \)[/tex] degrees Fahrenheit. To find the corresponding temperature in Celsius, substitute [tex]\( F \)[/tex] into the function:
[tex]\[
C(76.1) = \frac{5}{9}(76.1 - 32)
\][/tex]

3. Interpret the result: The calculation of [tex]\( C(76.1) \)[/tex] gives the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.

Therefore, [tex]\( C(76.1) \)[/tex] represents 76.1 degrees Fahrenheit converted to degrees Celsius. The calculated temperature in Celsius is approximately 24.5 degrees.