Asked by Sarah
                the amount (in milligrams) of a drug in the body t hours after taking a pill is given by A(t)=30(0.8)t .
(a) What is the initial dose given?
(b) What percent of the drug leaves the body each hour?
Percent:
(c) What is the amount of drug left after 9 hours?
(d) What is the first whole number of hours at which there is less than 5 milligrams left in the body?
            
            
        (a) What is the initial dose given?
(b) What percent of the drug leaves the body each hour?
Percent:
(c) What is the amount of drug left after 9 hours?
(d) What is the first whole number of hours at which there is less than 5 milligrams left in the body?
Answers
                    Answered by
            Steve
            
    (a) at t=0, .8^0 = 1
(b) .8 means decrease of 20%
(c) 30*.8^9 = ?
(d) 30*.8^t = 5
.8^t = 1/6
t log(.8) = log(1/6)
t = log(1/6)/log(.8) = 8.03
    
(b) .8 means decrease of 20%
(c) 30*.8^9 = ?
(d) 30*.8^t = 5
.8^t = 1/6
t log(.8) = log(1/6)
t = log(1/6)/log(.8) = 8.03
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