High School

On his first day of school, Kareem found the high temperature in degrees Fahrenheit to be 76.1. 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?

Answer :

Final answer:

C(76.1) represents the temperature in degrees Celsius that corresponds to 76.1 degrees Fahrenheit. The conversion is carried out using the given formula C(F)=5/9(F-32).

Explanation:

In the question, Kareem wants to convert a temperature of 76.1 degrees Fahrenheit to degrees Celsius using the formula C(F)=5/9(F-32). In this function, C(76.1) represents the Celsius temperature equivalent of 76.1 degrees Fahrenheit.

By inserting the Fahrenheit temperature into the function, we get C(76.1) = 5/9(76.1-32), which can be calculated to provide the temperature in degrees Celsius. This method of conversion is beneficial as the Fahrenheit and Celsius scales have different zero points and different increments per degree.

To convert Fahrenheit to Celsius, we use the function C(F) = 5/9(F - 32). Plugging in 76.1 for F, we get C(76.1) = 5/9(76.1 - 32). Simplifying the expression, C(76.1) = 5/9(44.1).

Therefore, C(76.1) is equal to approximately 24.5 degrees Celsius.

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