College

On his first day of school, Kareem found the high temperature to be [tex]76.1^\circ[/tex] Fahrenheit. 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 solve this question, we need to understand what the function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] actually does. This function is used to convert a temperature from degrees Fahrenheit to degrees Celsius.

Let's break down the question and the function:

1. Function Understanding: The function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] implies that when you input a Fahrenheit temperature into this function, it calculates and outputs the equivalent temperature in degrees Celsius.

2. Given Temperature: We want to find out what [tex]\( C(76.1) \)[/tex] represents. This means we take the Fahrenheit temperature of 76.1 and convert it to Celsius using the function.

3. Converting Temperature:
- The temperature in Fahrenheit is 76.1 degrees.
- Apply the formula: [tex]\( C = \frac{5}{9}(F - 32) \)[/tex].
- Substitute 76.1 for [tex]\( F \)[/tex]: [tex]\( C = \frac{5}{9}(76.1 - 32) \)[/tex].

4. Calculation:
- First, subtract 32 from 76.1: [tex]\( 76.1 - 32 = 44.1 \)[/tex].
- Then, multiply the result by [tex]\( \frac{5}{9} \)[/tex]: [tex]\( \frac{5}{9} \times 44.1 \)[/tex] gives you the temperature in Celsius.

5. Result: The conversion results in approximately 24.5 degrees Celsius.

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