49.the amount of caffeine in a patient’s bloodstream decreases by half every 3.5 hours. a latte contains 150 mg of caffeine, which is absorbed into the bloodstream almost immediately.
a. what type of function models the caffeine level in the patient’s bloodstream at time hours after drinking the latte? explain how you know.

Step-by-step explanation:

As the initial amount decreases by half every 3.5 hours, considering as the initial amount you have that:

at t=0 the amount would be

at t=3.5 the amount would be

at t=7 the amount would be

at t=10.5 the amount would be

and so on...

this behavior can the modeled as:

This matches all the points described above.

sites: