SOLUTION: An exponential decay function y(t)=y(0)e^(-kt) models the amount of drug in the blood t hours after and initial dose of y(0)=100mg is administered. Assume that the half life of the

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: An exponential decay function y(t)=y(0)e^(-kt) models the amount of drug in the blood t hours after and initial dose of y(0)=100mg is administered. Assume that the half life of the      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 841907: An exponential decay function y(t)=y(0)e^(-kt) models the amount of drug in the blood t hours after and initial dose of y(0)=100mg is administered. Assume that the half life of the particular drug is 16 hours. Find the exponential decay function that governs the amount of drug in the blood.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,
y(t)=y(0)e^(-kt)
.5 = e^(-16k) find k
ln(.5) = -16k
ln(.5)/-16 = .0433
y%28t%29=%28100mg%29e%5E%28-.0433t%29