The amount of a drug in the bloodstream decays exponentially, starting from the
ID: 3123265 • Letter: T
Question
The amount of a drug in the bloodstream decays exponentially, starting from the time it is fully absorbed. If the drug is given by an injection, the decay begins right away. The rate of decay depends on the drug - some drugs last a long time in the body, while others are cleared out of the body quickly. A generic form of pain reliever is called RxAll. The percentage of RxAll in the bloodstream is cut in half every eight hours.
A.) What is the equation for the percentage of drug remaining in the bloodstream for each 8-hour interval for the next 3 days.
B.) Complete the table.
0 hours = X percentage of the original amount remaining.
8 hours = X
16 hours = X
24 hours = X
32 Hours = X
40 hours = X
48 hours = X
56 hours = X
64 hours = X
72 hours = X
Explanation / Answer
A) In every 8 hours the drug becomes half the amount
A and B part are same.
So,
0 hours = 100 percentage of the original amount remaining.
8 hours = 50 percentage of the original amount remaining.
16 hours = 25 percentage of the original amount remaining.
24 hours = 12.5 percentage of the original amount remaining.
32 Hours = 6.25 percentage of the original amount remaining.
40 hours = 3.125 percentage of the original amount remaining.
48 hours = 1.15625 percentage of the original amount remaining.
56 hours = 0.78125 percentage of the original amount remaining.
64 hours = 0.390625 percentage of the original amount remaining.
72 hours = 0.1953125 percentage of the original amount remaining.
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