SOLUTION: The amount in grams of a drug in the body t hours after taking a pill is given by A(t)=18(0.85)^t (a) What is the initial dose given? b) What percent of the drug leaves the body

Algebra ->  Equations -> SOLUTION: The amount in grams of a drug in the body t hours after taking a pill is given by A(t)=18(0.85)^t (a) What is the initial dose given? b) What percent of the drug leaves the body       Log On


   

Question 1138636: The amount in grams of a drug in the body t hours after taking a pill is given by A(t)=18(0.85)^t
(a) What is the initial dose given?
b) What percent of the drug leaves the body after each hour?
(c) What is the amount of drug left after 7 hours?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+A%28t%29+=+18%2A.85%5Et+
(a)
The initial dose is when +t+=+0+
+A%280%29+=+18%2A.85%5E0+
+A%280%29+=+18+ grams
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(b)
After each hour, there is 85% left from
the previous hour, so 15% of the drug
leaves the body each hour
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( c )
+A%287%29+=+18%2A.85%5E7+
+A%287%29+=+18%2A.3206+
+A%287%29+=+5.77+ grams left after 7 hrs