SOLUTION: Soon after taking an aspirin, a patient has absorbed 300 mg of the drug. After 2 hours, only 75 mg remain. Find an exponential model for the amount of aspirin in the bloodstream af

Algebra ->  Exponents -> SOLUTION: Soon after taking an aspirin, a patient has absorbed 300 mg of the drug. After 2 hours, only 75 mg remain. Find an exponential model for the amount of aspirin in the bloodstream af      Log On


   

Question 1097445: Soon after taking an aspirin, a patient has absorbed 300 mg of the drug. After 2 hours, only 75 mg remain. Find an exponential model for the amount of aspirin in the bloodstream after t hours. HINT [See Example 2.]
f(t) =


Use your model to find the amount of aspirin in the bloodstream after 6 hours.
f(t) =
mg
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
f(x)=75=300*b^2, b=the base
(1/4)=b^2; b= 0.5.
f(t)=300*0.5^t
f(6)=300*0.5^6=4.6875 mg