Answer:
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.
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.