rayford 3 years ago The number of milligrams of a drug that remains in a patient’s system after t hours is given by the function A(t) = Iert. Juan was given 600 milligrams of medicine which leaves his bloodstream at a rate of 30%. How much of the medicine remains in his system after 6 hours? 150.62 mg 133.90 mg 111.58 mg 99.18 mg

1. satellite73

$$A(t)=le^{rt}$$ ?

2. rayford

sir??

3. satellite73

is that what you wrote?

4. rayford

yes..

5. rayford

i'm sorry

6. satellite73

in any case i assume it is at a rate of 30% per hour, so you can solve this by computing $600\times (.7)^6$

7. rayford

ok i'm with you?

8. satellite73

sure did you get the answer?

9. rayford

i got 49.412..?

10. satellite73

hmm i don't get any of the above answers when i compute. not sure what is going on

11. satellite73

oooh ok i see it. this is really not right, but i will go along with it in any case they want you to compute $600e^{-.3\times 6}=600e^{-1.8}$

12. bieberfan

rayford... thanks... btw im not a creeper u asked me first

13. satellite73

looks like you get $$99.18$$ rounded http://www.wolframalpha.com/input/?i=600e^%28-1.8%29

14. rayford

huh...that's kinda weird?

15. rayford

but ok thanks man..