SOLUTION: 2. The half-life of aspirin in a person's bloodstream is about 15 minutes. A person takes a 325 milligram Bayer Aspirin. a. Find an equation to represent this situation. Let f

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: 2. The half-life of aspirin in a person's bloodstream is about 15 minutes. A person takes a 325 milligram Bayer Aspirin. a. Find an equation to represent this situation. Let f      Log On


   



Question 185507: 2. The half-life of aspirin in a person's bloodstream is about 15 minutes. A person takes a 325 milligram Bayer Aspirin.
a. Find an equation to represent this situation. Let f(t) be the amount of aspirin (in milligrams) in the bloodstream if t is the number of hours since it entered the bloodstream.
b. When will there be no aspirin left in the person’s bloodstream? (Show your algebra.)

c. What is the domain and range for this situation?



Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The half-life of aspirin in a person's bloodstream is about 15 minutes. A person takes a 325 milligram Bayer Aspirin.
a. Find an equation to represent this situation. Let f(t) be the amount of aspirin (in milligrams) in the bloodstream if t is the number of hours since it entered the bloodstream.
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f(t) = f(0)(1/2)^(t/(1/4))
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b. When will there be no aspirin left in the person’s bloodstream? (Show your algebra.)
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325(1/2)^(4t) = 0
(1/2)^(4t) = 0
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There is no solution as no power of (1/2) is equal to zero.
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c. What is the domain and range for this situation?
Domain : t >= 0
Range: 0 < f(t) <= 325
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Cheers,
Stan H.