Question

PLEASE HELP!! The number of milligrams of a drug that remains in a patient's system after t hours is given by the function A(t) =ie^rt. Jordan was given 350 milligrams of medicine which leaves his bloodstream at a rate of 20%. How much of the medicine remains in his system after 4 hours?

Answer 1

A(t) = lert ? what does that mean ?

Answer 2

Ie^rt

Answer 3

r i think is rate, what is le ?

Answer 4

ok, wait, e is exponential,
so, we need 'i' first.
when A(t) = 350
350 = i e^ (20/100 * t)

Answer 5

is it like \(\large ie^{rt}\) or \(\large ie^rt\)

Answer 6

anyways with given information, i don't think its possible to find what is required..

Answer 7

Yes it is like how you wrote it! @hartnn

Answer 8

means ?
and thats because we won't be able to find the value of i .

Answer 9

yeah, i would say, the given information is insufficient.
but if you can, post the screenshot of the question ?

Answer 10

It looks just like I put it but with the answers

The number of milligrams of a drug that remains in a patient's system after t hours is given by the function A(t) =ie^rt. Jordan was given 350 milligrams of medicine which leaves his bloodstream at a rate of 20%. How much of the medicine remains in his system after 4 hours?

12.91 mg
35.77 mg
108.46 mg
157.27 mg

Answer 11

ok, then i assume, 350 mg was given 'initially' , now it'll be solvable ,
so, at t=0, A(t) =350, implies i=350
at t= 4 hrs,
A(t) = 350 * e^ (20/100 * 4) = 350 * e^(4/5) =.... ?

Answer 12

157.27 mg?

Answer 13

i am getting 778mg which is not in the choices, how you got 157 ?

Answer 14

I guessed.

Answer 15

I don't understand this question!!

Answer 16

that 'i' is bugging me.
and what i get is not in the choices.....sorry.

Answer 17

It's fine..Thanks for the help anyways :D Which one would you guess?! Ha

Answer 18

guesses could be wrong, i closed my eyes and picked up C.

Answer 19

ok, yes.

Answer 20

oh, did you miss the -*minus* sign ???
\(\huge A(t)=ie^{-rt}\)
?

Answer 21

yes, you did !
350 e^(-20/100 * 4) = 157.26
-_-

Answer 22

Oh no it's just ie^rt so 157.26 must be wrong..

Answer 23

if its just ie^rt in you question, then the QUESTION must be incorrect.

Answer 24

I didn't miss any signs. I'm going to email my teacher..

Answer 25

okay.