A radioactive material decays according to the function A(t)=Age 0.0245t, where Ag is the initial amount present and A is the amount present at time t (in years). Assume that a scientist has a sample of 400 grams of the radioactive material. (a) What is the decay rate of the radioactive material? (b) Graph the function using a graphing utility. (c) How much radioactive material is left after 40 years? (d) When will only 300 grams of the Jadioactive material be left? (e) What is the half-life of the radioactive material? (b) Graph the function. Choose the correct graph below. The graphing window is [0,800,100] by [0,1,0.25]. OA. Q Q B. OD. G G G (c) There will be about 150.1 gram(s) of the radioactive material left after 40 years. (Do not round until the final answer. Then round to the nearest tenth as needed.) (d) In about 11.7 year(s), only 300 grams of the radioactive material will be left. (Do not round until the final answer. Then round to the nearest tenth as needed.) (e) The half-life of the radioactive material is about year(s). (Do not round until the final answer. Then round to the nearest tenth as needed.)