Question 1202599
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Write an exponential model for the following situation. 
The drug dosage is 375 mg. The drug is eliminated at a rate of 11.3% per hour. 
Use D=the amount of the drug in milligrams and t=time in hours. 
Enter your model in the simplified form y=asup(bracket(b),x), 
and be mindful about the case of your variables.
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        Below I present for you a STANDARD mantra on how to solve such problems.



<pre>
The starting amount of the drug is 375 mg, and the exponential rate of eliminating the drug
is 11.3% per hour.   It means that in terms of (D,t) the exponential model is

    D = {{{375*(1-0.113)^t}}} = {{{375*0.887^t}}}.    (1)


Here 375 is the initial/starting amount, given in this problem;  
1-0.113 = 0.887 is the reducing factor per hour;  t is the time, in hours.


    +-----------------------------------------------------------------+
    |   Again, knowing the starting amount and the exponential rate   |
    |   is just ENOUGH to write an exponential model (1) in whole.    |
    +-----------------------------------------------------------------+


In (y,x) form, formula (1) becomes

    y = {{{375*0.887^x}}}.
</pre>

That is all the mantra.


You do not need to pronounce any more words, because excessive words are UNNECESSARY and IRRELEVANT.


Moreover, if you will pronounce excessive words, everybody around will understand immediately 
that you do not know the subject and that nobody and never did explain the subject to you in a right way.


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To see many other similar and different solved problems, &nbsp;look into the lesson

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/logarithm/A-medication-decay-in-a-human%27s-body.lesson>A medication decay in a human's body</A> 

in this site.