Fluorodeoxyglucose is a derivative of glucose that contains the radionuclide uorine-18 (18F). A patient is given a sample of this material containing 330 MBq of 18F (a megabecquerel is a unit of radioactivity). The patient then undergoes a PET scan (positron emission tomogmphy) to detect areas of metabolic activity indicative of cancer. After 174 min, one-third of the original dose remains in the body. (a) Write a function of the form Q(t)= Q0e_kt to model the radioactivity level Q(t) of uorine-18 at a time 1' minutes after the intial dose. Round the value of k to ve decimal places. Do not round intermediate calculations