Question

Algebra 1. (3 marks) Suppose the quantity Q, in mg, of medicine in a patient's bloodstream is decreasing by 25% each 40 minutes, so Q = f(t) 300 x (0.75) t/40 where t is in minutes since the injection of medicine and the injection contains 300 mg of medicine. (a) Write the formula for Q in the form Q Axek for appropriate values of A and k. (b) Let T be the time taken for the quantity of medicine in the bloodstream to halve. Determine the value of T. (c) Sketch a graph of Q against t. On your graph, indicate the halving time.

Answer 1

GỌ 1n(0.1g) 0.15= e tj4o In o.15 300 е L In (015) - o 00114205 30o e

Olt) 300 200 (96.37,150) 100 300 100 400 500 600 200 time(t)