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

B. The temperature of 76.1 degrees Celsius converted to degrees Fahrenheit.

C. The temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.

Answer :

Sure! Let's work through what [tex]\( C(76.1) \)[/tex] represents in the context of this question.

The function [tex]\( C(F) = \frac{5}{9}(F-32) \)[/tex] is a formula used to convert a temperature from degrees Fahrenheit (°F) to degrees Celsius (°C). In this function, [tex]\( F \)[/tex] represents the temperature in Fahrenheit that you want to convert.

For this problem, [tex]\( F \)[/tex] is given as 76.1 degrees Fahrenheit. Therefore, [tex]\( C(76.1) \)[/tex] specifically refers to the conversion of a temperature from 76.1 degrees Fahrenheit to degrees Celsius.

After performing this conversion using the given formula, the result is approximately 24.5 degrees Celsius. This means that when the temperature is 76.1 degrees Fahrenheit, it is equivalent to about 24.5 degrees Celsius.

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