Apatient is given a 50 mg dose of medicine. the medicine's effectiveness decreases every hour at a constant rate of 40%. what is the exponential decay function that models this scenario? how much medicine will be left in the patient's system after 2 hours?

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. 

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