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
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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(39618) (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 .
(a) :
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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
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20 minutes is , so evaluate T for .
(b):
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How long, to the nearest minute, can the operation last if the patient does not receive additional anesthetic?
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This means, , 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.
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