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 inje...
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.
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.