College

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 :

To understand what [tex]\( C(76.1) \)[/tex] represents, let's break it down using the function provided:

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

This is a standard formula used to convert a temperature from degrees Fahrenheit to degrees Celsius. Here, [tex]\( F \)[/tex] represents the temperature in Fahrenheit that you want to convert.

Now, when we say [tex]\( C(76.1) \)[/tex]:
- We are inputting 76.1 degrees Fahrenheit into the function to find its equivalent in degrees Celsius.

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

Thus, the correct interpretation is:
- The temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.

When we perform this conversion using the formula, we get a result of approximately 24.5 degrees Celsius. This confirms that 76.1 degrees Fahrenheit is equivalent to 24.5 degrees Celsius.