SOLUTION: When doctors prescribe medicine, they must consider how much the drug's effectiveness will decrease as time passes. If each hour a drug is only 90% as effective as the previous hou

Question 944816: When doctors prescribe medicine, they must consider how much the drug's effectiveness will decrease as time passes. If each hour a drug is only 90% as effective as the previous hour, at some point the patient will not be receiving enough medicine and must be given another dose. If the initial dose of medication is 300 mg, how long will it take for the initial dose to reach a level of 63 mg? Record your answer to the nearest minute.
Answer by josgarithmetic(39625) (Show Source): You can put this solution on YOUR website!
This drug decays to 90% each hour.

General Decay Model,
I, initial amount for any t=0.

, let's get the k value fast.

How much time to go from 300 mg to 63 mg of this drug?

t=14.8 hours
RELATED QUESTIONS
MEDICINE When doctors prescribe medication, they have to consider the rate at which the... (answered by Boreal)

cowling's rule is another method for determining the dosage of a drug to prescribe to a... (answered by hobbitt)

When Emily went to the emergency room, the doctors gave her a dose of blood coagulant,... (answered by josgarithmetic,Theo)

A doctor needs to prescribe a certain medicine for her patient. The amount of medicine... (answered by stanbon,josmiceli)

doctors often prescribe the same drugs for children as they do for adults. if "a" the... (answered by KMST)

The effectiveness of a blood-pressure drug is being investigated. An experimenter finds... (answered by Boreal)

The effectiveness of a blood-pressure drug is being investigated. An experimenter finds... (answered by robertb)

The effectiveness of a blood-pressure drug is being investigated. An experimenter finds... (answered by Boreal)