As a pharmacist, you are responsible for knowing about medication dosage, and how long a dose stays in the patient's system. Let's look at an example of a common medication, called ibuprofen. When a patient takes a 400 mg dose of ibuprofen, it releases into the bloodstream at a certain rate, and then decreases over time. The function that models this concentration of medicine over time is complex and looks like this:
P (t) = 0.5t++3.45t - 96.65t² + 347.7t, when 0 ≤ t ≤6 In this function above, P(t) is the amount of medication (in mg) in the blood stream at time t (in hours). When put into a graphing software, it looks like this:

Create a unique story from the one given that this function could represent. (Let t represent time)