Question 1175242: 4) The half-life of a medication is the amount of time for half of the drug to be eliminated from the body. The half-life of Advil or ibuprofen is represented by the equation R=M(0.5)^1/2, where R is the amount of Advil remaining in the body, M is the initial dosage, and t is time in hours.
a) A 200 milligram dosage of Advil is taken at 1:00 pm. How many milligrams of the medication will remain in the body at 6:00 pm?
b) If a 200 milligram dosage of Advil is taken how many milligrams of the medication will remain in the body 12 hours later?
Found 3 solutions by ewatrrr, ikleyn, josgarithmetic:
Answer by ewatrrr(24785)   (Show Source):
Answer by ikleyn(52815)  (Show Source):
You can put this solution on YOUR website! .
Hello, from your post, I see that you get the first immersion to the subject and to the terminology,
but still it is not sufficient to write PERFECTLY, so you need to immerse DEEPER.
For it, I recommend you to look into my lessons, to which I refer at the end of this post.
More concretely, regarding your post, the formula for the decay in the post is written INCORRECTLY.
You say that "t" is the part of the formula, but in reality, you missed "t" in the formula.
I can guess on how it should be, but I don't want to guess --- it would be incorrectly from my side.
THEREFORE, I ask you to rewrite your post and to re-submit it to the forum.
If you do, then PLEASE do not submit it to me personally.
Simply submit to the forum, as you do it regularly.
Now the links to the relevant lessons, that I promised to you
- Population growth problems
- Radioactive decay problems
- Carbon dating problems
- Bacteria growth problems
- A medication decay in a human's body
in this site.
Also, you have this free of charge online textbook in ALGEBRA-I in this site
- ALGEBRA-I - YOUR ONLINE TEXTBOOK.
The referred lessons are the part of this online textbook under the topic "Logarithms".
Save the link to this online textbook together with its description
Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson
to your archive and use it when it is needed.
///////
One more notice about your text and your terminology.
In your post, you write
The half-life of a medication is the amount of time for half of the drug to be eliminated from the body.
Actually, the standard understanding for the half-life is that it is the time for half of the medication TO REMAIN in the body.
From the formal point of view, it is the same, because the two halves are equal, but STILL
the commonly accepted understanding is half of the material TO BE REMAINED.
According to and consistently with this understanding, this amount is called "half-life", and is not called "half-death".
Answer by josgarithmetic(39621)  (Show Source):
You can put this solution on YOUR website! Half-life for ibuprofin in the blood is 2 hours. Your formula should be  .
R=M(0.5)^(t/2)
Time from 1:00 PM to 6:00 PM is a time change of 5 hours, so  .
|
|
|
