SOLUTION: The regular dose of medicine is 50 MG. If 25% of the medicine is flushed out the blood stream after 24 hours what percentage of the medicine remains? How much medicine stays for

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Question 962386: The regular dose of medicine is 50 MG. If 25% of the medicine is flushed out the blood stream after 24 hours what percentage of the medicine remains?
How much medicine stays for the next 5 days
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
The 3%2F4 life time is 24 hours or 1 day.
y=Ie%5E%28-kt%29, the model only as variables.
y, amount remaining
I, initial amount
k, a constant
t, time in days.

ln%28y%29=ln%28I%29-kt
ln%28y%29-ln%28I%29=-kt
kt=ln%28I%29-ln%28y%29
k=ln%28I%2Fy%29%2Ft
-
substitute to find value for k.
k=ln%281%2F%283%2F4%29%29%2F1
k=ln%284%2F3%29%2F1
k=0.2877, based on time in DAYS.

Model is highlight%28y=Ie%5E%28-0.2877t%29%29

The NEXT 5 days now will mean that 1 day plus 5 more days, so time is t=6.

HOW MUCH REMAINS 6 days after start?
highlight%28y=50%2Ae%5E%28-0.2877%2A6%29%29