Senior Math: Natalya has an ear infection. The doctor prescribes a course of antibiotics.
Natalya is told to take 250 mg doses of the antibiotic regularly every 12 hours
for 20 days.
Natalya is curious and wants to know how much of the drug will be in her body
over the course of the 20 days. She does some research online and finds out
that at the end of 12 hours, about 4% of the drug is still in the body.
a. What quantity of the drug is in the body right after the first dose, the
second dose, the third dose, the fourth dose?
When will the total amount of the antibiotic in Natalya's body be the
highest? What is that amount?
Answer Natalya's original question: Describe how much of the drug
will be in her body at various points over the course of the 20 days.
If you were Natalya's doctor, what recommendations would you give
her based upon your math above?​