Exponential Functions problem ?
The remaining mass, M, in milligrams of a drug in a person's bloodstream after t hours is modeled by the relation M=500(1/2)1/2.
a) what's the initial mass of the drug?
b) what's the half life of the drug?
c) what's the mass of the drug in the bloodstream after 1 day?
Any help is much appreciated!!
Update: This is the relation as the teacher gave it to me. I don't have any more info
- Wayne DeguManLv 72 months agoFavorite Answer
I would assume that you relation should be:
M(t) = 500(1/2)^t
Initial mass is when t = 0
i.e. M(0) = 500(1/2)⁰ => 500 mg
Half-life occurs when t = 1 hour
After 1 day, i.e. when t = 24 we have:
M(24) = 500(1/2)²⁴ => 0.00003 mg
or, 0.03 µg
- charlatanLv 72 months ago
M=500(1/2)1/2. should actually read
1/2 is half life
t= time 1/2 an hour multiples
that mean in 1/2 an hour, half of the drug is active(50%)
initial mass is 500 mg
after first (t=1)1/2 hr, 250 mg is remaining.
after two(t=2), 1/2*1/2 =1/4 of 500 mg is remaining and so on
in 24 hr 48 half hours are there
now do the computation.
did i make the problem clear to you?
- az_lenderLv 72 months ago
You've mistyped the relation. Where's the t? Is some part of the expression an exponent?