High School

Maxwell found that the relationship between the temperature of the coffee in his mug and the time he waits to drink it is exponential. The function [tex]F(m) = 175(0.98)^m[/tex] represents this relationship, where [tex]m[/tex] is the time in minutes and [tex]F(m)[/tex] is the temperature in degrees Fahrenheit. According to this function, what was the initial temperature of the coffee?

Answer :

Using the given exponential function, the initial temperature is 175°F

What is the initial temperature of the coffee?

In the problem given, the modeled equation is an exponential function and given that the temperature cools off, this is an example of an exponential decay function.

To determine the initial temperature of the coffee, we need to find the value of F(m) when m is equal to 0, as the initial time is 0 minutes.

Substituting m = 0 into the function [tex]F(m) = 175(0.98)^m^2[/tex], we have:

[tex]F(0) = 175(0.98)^0^2\\F(0) = 175(0.98)^0\\F(0) = 175(1)\\F(0) = 175[/tex]

Therefore, the initial temperature of the coffee is 175 degrees Fahrenheit.

Learn more on exponential function here;

https://brainly.com/question/2456547

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