A patient is given a 50 mg dose of medicine. The medicine's effectiveness decreases every hour at a constant rate of 40%. What i
s the exponential decay function that models this scenario? How much medicine will be left in the patient's system after 2 hours?
2 answers:
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.
Basically its choice B. f(x) = 50(0.60)x; 18 mg
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