Respuesta :
It should be noted that only 60% of the medicine of the previous hour is left n the patient's system every hour. Thus, the model of the scenario is,
D = 50 mg (0.6^n)
where D is the dosage at any hour n.
Using the model above with n equal to 2. D becomes 18. Therefore, only 18 mg is left in the patient's system after 2 hours.
D = 50 mg (0.6^n)
where D is the dosage at any hour n.
Using the model above with n equal to 2. D becomes 18. Therefore, only 18 mg is left in the patient's system after 2 hours.
The quantity of the medicine left in the patient's system after 2 hours is 18 mg.
What is exponential growth or decay function?
Consider the function:
[tex]y = a(1\pm r)^m[/tex]
where m is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.
It should be noted that only 60% of the medicine of the previous hour is left n the patient's system every hour.
Thus, the model of the scenario,
[tex]D = 50 ( 1 - 0.4)^n\\\\D = 50 (0.6^n)[/tex]
where D is the dosage at any hour n.
From the model above with n equal to 2 then D becomes 18.
Hence, The quantity of the medicine left in the patient's system after 2 hours is 18 mg.
Learn more about exponential growth and decay here:
https://brainly.com/question/2193820
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