Question

A doctor prescribes 130 milligrams of a therapeutic drug that decays by about 20% each hour. Once you take the medicine, how long will it take for there to be only 9 milligrams left in your system?

          A doctor prescribes 130 milligrams of a therapeutic drug that decays by about 20% each hour. Once you take the medicine, how long will it take for there to be only 9 milligrams left in your system?
        

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Elementary and Intermediate Algebra
Elementary and Intermediate Algebra
Alan S. Tussy, R. David Gustafson 5th Edition
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A doctor prescribes 130 milligrams of a therapeutic drug that decays by about 20% each hour. Once you take the medicine, how long will it take for there to be only 9 milligrams left in your system?
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Transcript

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00:01 In this question we are given the initial concentration, the initial amount of drug is equals to 100 milligrams.
00:12 This is the initial amount of drug and we are given that the final amount is equals to 10 milligram.
00:19 So the final amount of drug is equals to 10 milligram.
00:25 So since this is initial so we have t is equals to 0, we have to find after how much time, after how much time 10 milligram of drug will be left, 10 milligram drug will be left.
00:45 And we are given constant rate of decrease is equals to 20 percent per hour.
00:53 So this is the rate with which the drug content is decreasing.
00:58 So therefore we can state that at any given time n, the amount of drug will be 100 multiplied by 1 minus rate in fractions which is 20 divided by 100 to the power n...
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