Answer the following questions about this situation.

Question

Certain drugs are eliminated from the bloodstream at an exponential rate.

Write an exponential model for the following situation. The drug dosage is 500 mg. The drug is eliminated at a rate of 5.2% per hour. Use D = the amount of the drug in milligrams and t = time in hours

How much of the drug is left after 6 hours? Round to the nearest milligram.

Answer 1

D=500e^.052(6)

=500e^.312

= about 683.077 in 6 hours at 5.2% growth rate per hour

= about 683 mg