The volume of air in a person's lungs can be modeled with a periodic function. The graph below represents the volume of air, in mL, in a person's lungs over time t, measured in seconds. (0, 2800), (2, 1200), (4, 2800), (6, 1200)
What is the amplitude and what does it represent in this context?
The amplitude of a periodic function represents the maximum deviation from the mean or average value.
In the given context, the amplitude can be determined by finding the maximum value of the volume of air in the lungs. Looking at the graph, we can see that there are two maximum points, one at (0, 2800) and another at (4, 2800). Therefore, the amplitude is 2800 mL.
In this context, the amplitude represents the maximum amount of air in a person's lungs during one complete cycle of the periodic function.