When a person is breathing normally, the amount of air in their lungs can be modeled with a sinusoidal function. When full, Karen’s lungs hold
Write an equation to model the amount of air in Karen’s lungs at any time
in seconds, assuming she is breathing normally.
Make a sketch. Include a minimum point at
and a maximum point at .
What is the amount of air in Karen’s lungs if she starts holding her breath,
seconds into the timing?
in your equation from part (a).
When is the first time Karen has
liters of air in her lungs?
Set your equation from part (a) equal to
and solve for .