SOLUTION: Hello, Can someone please help me with this math problem it is from the textbook College Algebra. i)Problem: The level of a prescription drug in the human body over

Question 149823This question is from textbook College Algebra
:
Hello,
Can someone please help me with this math problem it is from the textbook College Algebra.

i)Problem: The level of a prescription drug in the human body over time can be found using the formula:

L = D
_____________
1 - (1/2)^n/h

where D is the amount taken every n hours and H is the drug�s half-life in hours.
(1) If 2.5 milligrams of Lorazepam with a half-life of 14 hours is taken every 24 hours, then to what level does the drug build up over time?
(2) If a doctor wants the level of Lorazepam to build up to a level of 5.58 milligrams in a patient taking 2.5 milligram doses, then how often should the doses be taken?
(3) What is the difference between taking 2.5 milligrams of Lorazepam every 12 hours and taking 5 milligrams every 24 hours?

Thank you,
Droxygirl1001

This question is from textbook College Algebra

Answer by vleith(2983) (Show Source): You can put this solution on YOUR website!

where D is the amount taken every n hours and H is the drug�s half-life in hours.
(1) If 2.5 milligrams of Lorazepam with a half-life of 14 hours is taken every 24 hours, then to what level does the drug build up over time?

(2) If a doctor wants the level of Lorazepam to build up to a level of 5.58 milligrams in a patient taking 2.5 milligram doses, then how often should the doses be taken?

(3) What is the difference between taking 2.5 milligrams of Lorazepam every 12 hours and taking 5 milligrams every 24 hours?

Big difference

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