CURRENT OBJECTIVE Model exponential decay Question A medication is admigistered with a dose of 10 milligrams. After 3 hours there are 6.5 milligrams in the patient's system. What is the half life of the medication, in hours? Round to one decimal place. Provide your answer below: MORE INSTRUCTION Content attribution Content attribution Provide your answer below: Question Model exponential decay CURRENT OBJECTIVE What is the half life of the medication, in hours? Round to one decimal place. FEEDBACK A medication is admifistered with a dose of 10 milligrams. After 3 hours there are 6.5 milligrams in the patient's system. MORE INSTRUCTION SUBMIT
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5 milligrams remaining in the patient's system. We need to find the half-life of the medication, which is the time it takes for the amount of medication to reduce to half of its initial value. Show more…
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Kathleen C.
2. (Exponential Decay) For the following problem, use this scenario: A doctor prescribes 125 milligrams of a therapeutic drug that decays by about 30% each hour. (a) Write an exponential model representing the amount of the drug remaining in the patient's system after t hours. (b) Then use the formula to find the amount of the drug that would remain in the patient's system after 3 hours. Round to the nearest milligram.
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Exponential decay can be used to model the decrease in concentration of an intravenous drug in the bloodstream over time following an exponential decay formula: A = A0e^(-kt) Where A is the amount of drug in the bloodstream, A0 is the initial dose of the drug, and t is time measured in hours. We assume that the full dose of drug delivered is present in the bloodstream at time t = 0 hours. QUESTION: A patient is given 170 mg of a drug. Two hours later, the amount of drug in the patient's bloodstream has reduced by 10% (i.e. there is 90% of the original dose still present). Assuming exponential decay according to the above formula, what is the decay constant "k" for the drug? (Round k to three decimal places.)
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