SOLUTION: During surgery, a patient's circulatory system requires at least 50 milligrams of an anesthetic. The amount of anesthetic present t hours after 70 milligrams of anesthetic is admin

Algebra ->  Inequalities -> SOLUTION: During surgery, a patient's circulatory system requires at least 50 milligrams of an anesthetic. The amount of anesthetic present t hours after 70 milligrams of anesthetic is admin      Log On


   

Question 1130985: During surgery, a patient's circulatory system requires at least 50 milligrams of an anesthetic. The amount of anesthetic present t hours after 70 milligrams of anesthetic is administered is given by the following.
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
b) How long, to the nearest minute, can the operation last if the patient does not receive additional anesthetic?_____min
Answer by josgarithmetic(39838) About Me  (Show Source):
You can put this solution on YOUR website!
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%28t%29+=+70%280.727%29%5Et.



(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%2F3hour, so evaluate T for t=1%2F3.


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

This means, T%28t%29=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.