High School

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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]$\dot{C}(F)=\frac{5}{9}(F-32)$[/tex] to convert this temperature from degrees Fahrenheit to degrees Celsius. What does [tex][tex]$C(76.1)$[/tex][/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 figure out what [tex]\( C(76.1) \)[/tex] represents, let's start by understanding the function provided. The function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] is used to convert temperatures from degrees Fahrenheit (°F) to degrees Celsius (°C).

Now, let's see what [tex]\( C(76.1) \)[/tex] means:

1. Identify the function: The function [tex]\( C(F) = \frac{5}{9}(F - 32) \)[/tex] converts a temperature from Fahrenheit to Celsius. This means [tex]\( C(F) \)[/tex] takes a Fahrenheit temperature as input and outputs the corresponding Celsius temperature.

2. Input of the function: Here, [tex]\( C(76.1) \)[/tex] indicates that the input to our function [tex]\( F \)[/tex] is 76.1 degrees Fahrenheit.

3. Output of the function: By inputting 76.1 into the function, the output will be the computed temperature in Celsius. In this case, [tex]\( C(76.1) \)[/tex] represents the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.

Thus, [tex]\( C(76.1) \)[/tex] specifically refers to converting 76.1°F to Celsius.

Therefore, the correct choice is:
- the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius.

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