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

Answer :

To find out what [tex]\( C(76.1) \)[/tex] represents, we need to understand the function [tex]\( C(F) = \frac{5}{9}(F-32) \)[/tex]. This function is used to convert a temperature from degrees Fahrenheit to degrees Celsius.

The function takes an input [tex]\( F \)[/tex], which represents a temperature in degrees Fahrenheit, and outputs [tex]\( C(F) \)[/tex], which represents the equivalent temperature in degrees Celsius.

So when we calculate [tex]\( C(76.1) \)[/tex], we are converting the temperature from Fahrenheit to Celsius using the given formula. Here's what each part of the question represents:

- "the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius" matches what [tex]\( C(76.1) \)[/tex] is doing since it takes the Fahrenheit temperature of 76.1 and converts it to Celsius.
- "the temperature of 76.1 degrees Celsius converted to degrees Fahrenheit" would involve converting from Celsius to Fahrenheit, which is not what the function does.
- "the amount of time it takes a temperature of 76.1 degrees Fahrenheit to be converted to 32 degrees Celsius" is not relevant because the function deals with temperature conversion, not time.
- "the amount of time it takes a temperature of 76.1 degrees Celsius to be converted to 32 degrees Fahrenheit" also refers to time, which is not applicable here.

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