Question

5. The drug Xanax has a half-life of 11.2 hours. A patient took a 3 mg dosc at 8 AM. (a) Find an exponential function which models the amount of Xanax in the person's system after t hours, where t= 0 represents 8 AM. (Hint: You may want to start by figuring out two data points for this function.) (b) Approximately when will the patient have less than 0.1 mg of Xanax left in their systein? (Use your graphing technology to help)!

Answer 1

& for half life, formula is, y = a (a.s) t/P here a initial vame = 3 mg P = half life = 11.2 hr 1y = 3 (0.5) 7/11.2 <- function, find the time when y = 0.1 mg 0.1 = 3 (0.5) 7/11,2 0 1 = (0-5) 12 10.033 = (0.5) 1.2 in (0.033) = In [cos) %.1.2] Im60.033) - Incos) 11.2 t 11.2 inco.033) Inco.s) t = 54.957 It x 55 hrs after 8:00 am