Certain drugs are eliminated from the bloodstream at an exponential rate. Doctors and pharmacists need to know how long it takes for a drug to reach a certain level to determine how often patients should take medications. Answer the following questions about this situation.

  1. Select the correct statement:
  2. Write an exponential equation for the following situation. The drug dosage is 500 mg. The drug is eliminated at a rate of 14% per hour. Use D = the amount of the drug in milligrams and t = time in hours.
     
  3. How much of the drug is left after 8 hours? Round to the nearest milligram.
    milligrams
  4. How many hours will it take until half of the drug remains? Round to the nearest tenth of an hour.
    hours