SOLUTION: A particular antibiotic is eliminated from the blood at a rate of 15% per hour what is the half life of the drug? How many hours does it take for a 100milligram dose to decrease to

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Question 1007706: A particular antibiotic is eliminated from the blood at a rate of 15% per hour what is the half life of the drug? How many hours does it take for a 100milligram dose to decrease to 1milligram in the blood?
Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
p, starting quantity
y, resulting quantity after some time t
t, some time passage
k, rate constant
MODEL in general:

Loss of 15% in one hour means

take log of each side and solve for.....
.

More specific model is .
To answer the question, let p=100,y=1,solve for t.

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Also, half-life was asked. You can use the specific model to find this.






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