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

Let's break it down:

1. Identify the function and its purpose: The function [tex]\( C(F) \)[/tex] is used to convert temperatures given in Fahrenheit to temperatures in Celsius. The formula is designed to do this conversion.

2. Determine what [tex]\( C(76.1) \)[/tex] means: Here, [tex]\( F \)[/tex] is 76.1, which is the temperature in degrees Fahrenheit. Plugging this value into the function gives us the equivalent temperature in degrees Celsius.

3. What does this mean for the problem: When we input 76.1 into the function, it will calculate the Celsius equivalent. Therefore, [tex]\( C(76.1) \)[/tex] specifically represents the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.

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

This step-by-step understanding shows how the function [tex]\( C(F) \)[/tex] is used to convert temperatures, and what [tex]\( C(76.1) \)[/tex] represents in this context.

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