A particular medicine decays at a rate of 16% every 4 hours. If a person takes a 25 mg dose, answer the following questions.
a. Write a function that represents the amount of medicine after h hours.
b. How much is left after 4 hours? 8 hours?

25 x 0.84 ^ h = X

After 4 hours there will be 12.45 milligrams of the medicine, and after 8 hours there will be 6.20 milligrams of it.

Step-by-step explanation:

Given that a particular medicine decays at a rate of 16% every 4 hours, if a person takes a 25 mg dose, to write a function that represents the amount of medicine after h hours, and determine how much is left after 4 hours and 8 hours, the following calculations must be performed:

100 - 16 = 84

25 x 0.84 ^ h = X

25 x 0.84 ^ 4 = X

25 x 0.4978 = X

12.45 = X

25 x 0.84 ^ 8 = X

25 x 0.2478 = X

6.20 = X

Therefore, after 4 hours there will be 12.45 milligrams of the medicine, and after 8 hours there will be 6.20 milligrams of it.