A patient is given a 50 mg dose of medicine the medicines 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 two hours
Accepted Solution
A:
exponential decay formula is [tex]y = a(1 - r)^{x} \\ y = 50(1 - .40) ^{x} [/tex] x= hours past [tex]y = 50(1 - .40)^{2} \\ y = 18[/tex] after 2 hours, there are 18 mg of medicine left