Question 1130985
This is your formula as stated:  T(t) = 70(0.727)t


More likely the formula you are given is T(t) = 70(0.727)^t and appears when rendered as  {{{T(t) = 70(0.727)^t}}}.




(a) :
----------
How much, to the nearest milligram, of the anesthetic is present in the patient's circulatory system 20 minutes after the anesthetic is administered?_____mg
---------


20 minutes is {{{1/3}}}{{{hour}}}, so evaluate T for {{{t=1/3}}}.



(b):
-----
How long, to the nearest minute, can the operation last if the patient does not receive additional anesthetic?
-----


This means, {{{T(t)=50}}}, and yuo want to solve for t.
Try taking logs of both sides of the equation to start this.  Remember, you are finding t in HOURS so convert your solution into minutes.