SOLUTION: You have a headache and decide to take a 200-mg over-the-counter headache medicine tablet to relieve it. The ibuprofen in the pill is absorbed into your system and stays there unt

Question 913702: You have a headache and decide to take a 200-mg over-the-counter headache medicine tablet to relieve it. The ibuprofen in the pill is absorbed into your system and stays there until it is metabolized and filtered out by the liver and kidneys. Every 4 hours, your body removes 67% of the ibuprofen that was in your body at the beginning of that 4-hour time period.
Write a recursive system that represents the amount of ibuprofen in your body at any time. How much of the ibuprofen will have remained in your system 24 hours after taki the 200-mg tablet?
Suppose that the tablet contained 250 mg instead of 200. How much would be in your body after 24 hours?
Suppose that your kidneys filter only 50% of the ibuprofen in 4 hours. If you take a 200-mg tablet, how much would you have in your body after 24 hours?
Write a sentence to interpret the following recursive systems in the context of this problem. Find how much ibuprofen remains after 24 hours. The domain of Dn is 1, 2, 3, . . .
D0 = 300, Dn=Dn-1 - 0.8(Dn-1)
D0 = 150, Dn = Dn-1 - 0.2(Dn-1)
D0 = 500, Dn = 0.2(Dn-1)
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
2/3 less every 4 hours

= ~26 , {200, ~133, ~89, ~59, ~39, ~26}

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