SOLUTION: The half-life of ibuprofen is about 1.8 hours. Here is the function to model the amount of ibuprofen remaining after t hours. The amount of ibuprofen taken is a. y\:=\:a\left(0

Question 1075882: The half-life of ibuprofen is about 1.8 hours. Here is the function to model the amount of ibuprofen remaining after t hours. The amount of ibuprofen taken is a.
y\:=\:a\left(0.5\right)^{\frac{t}{1.8}}
If 800mg are taken, how many milligrams remain in your system after 6 hours? Round to the nearest tenth.
Answer by jorel1380(3719) (Show Source): You can put this solution on YOUR website!
If the half life of ibuprofen is 1.8 hours, then half of the original amount is present after that time. So, after 6 hours you have:
ln V=800 x (.5)^6/1.8
ln V=ln (800 x (.5)^3.33333)=ln 800 + ln (.5)^3.33333
ln V=ln 800 + 3.33333 ln 0.5=4.3741211258014429315635722024471
V=e^4.3741211258014429315635722024471=79.3700 mg of ibuprofen left after 6 hours. ☺☺☺☺
RELATED QUESTIONS
4) The half-life of a medication is the amount of time for half of the drug to be... (answered by ewatrrr,ikleyn,josgarithmetic)

You have a headache and decide to take a 200-mg over-the-counter headache medicine tablet (answered by ewatrrr)

PLEASE HELP!! The radioactive isotope thorium 234 has a half-life of approximately 578... (answered by stanbon,Theo)

The radioactive substance uranium-240 has a half-life of 14 hours. The amount A(t) of a... (answered by Alan3354,KMST)

A factory produces 5,000,000 ibuprofen tablets to fill an order. the bottle chosen for... (answered by richwmiller)

Q- how many milligrams of ibuprofen remain in the blood 1 hour after 400mg has been... (answered by PaulAllen65270)

The half-life of a radioactive substance is the time it takes for half of the substance... (answered by ankor@dixie-net.com)

24 grams of a radioactive isotope whose half-life is 1430 years decays according to the... (answered by josgarithmetic,ikleyn)