The amount of drugs that will be left after 12 hours is 17.42 mg provided Sarah takes 550 mg of an antibiotic every hour.
<h3>What is exponential decay?</h3>Exponential decay can be described as a reduced amount of an original substance by a definite percentage over a period of time. It can be determined by using the formula:
where;
- y = total amount,
- a = initial amount = 550 mg
- r = the growth rate = 0.25
- t = number of growth periods = 12 hours
y = 17.42 mg
Therefore, we can conclude that the amount of drugs that will be left after 12 hours is 17.42 mg.
Learn more about the exponential decay model here: