The formula A = 5e^-0.88t can be used to determine the number of milligrams A, o
ID: 3014910 • Letter: T
Question
The formula A = 5e^-0.88t can be used to determine the number of milligrams A, of a certain drug in a patient's bloodstream t hours after the drug has been administered. a. How many milligrams of the drug were initially given to the patient? milligrams b. When the number of milligrams of the drug reaches 3.6, the drug is to be administered again. How many hours will elapse between injections? hours c. Does the number of hours between injections depend on the initial amount of the drug given to the patient?Explanation / Answer
Solution:
(a)
A= 5e-0.88t
for initial condition we must plug time t =0
therefore
A = 5 e0
A= 5 miligrams
5 miligrams of the drug were initially given to the paitent
Answer: 5
(B)
time when A = 3.6 miligrams
Plug A = 3.6 and calculate the hours elapse between injection
3.6 = 5 e-0.88t
e-0.88t = 3.6/5 =.72
taking log on both side
ln e-0.88t = ln(0.72)
-0.88t = -0.3285
t = 0.373 hours
answer