Suppose a population of mice on an island grows exponentially according to the mathematical model 3; = you?\" where t is measured in weeks. At time t = 0, there are 300 mice. After 2 weeks there are 60!] mice. After 6 weeks there are 2400 mice. If using the above information, which of the following statements are correct? Select all that apply. i; y\" = 600 C 600 = 3002\" I: y\" can not be determined with the information given. C ya = 300 C 2400 = 3006\"\" C After3 weeks there are 1050 mice. I: 300 = time\" C 2400 = 636'\" C 6:24008\" Suppose that a population of bacteria grows according to the model y = 450est where t is measured in hours fort > 0. a) How many bacteria are there initially in the population? [ Select ] Q6 b) What is the "growth constant" in this example? [ Select ] v c) How many bacteria are in the population after 3 hours? Round to the nearest 100. [ Select ] d) Suppose we wanted to find out at what time the number of bacteria reached 10,000. Which of the following methods should we use? [ Select ] Option I: Set 3 = 10, 000e0.but and solve fort . Option II: Set 10, 000 = yo e0.56-450 and solve for yo . Option Ill: Set 10, 000 = 4500.56t and solve fort . Option IV: Set y = 450 e0.56.10,000 and simplify. Optional: Find the time when the number of bacteria reaches 10,000.Suppose a patient is given 300 mg of an anti-inammatory medicine. The amount of medicine in the patients' body decreases exponentially, and it has a half-life in the body 0142 hours. 3} Use the half-lite formula to nd the decay constant k. l 53'9\"] V b} With this value for is, what is the correct model for this situation? l 53'9\"] V c} How much of the medicine is left after 6 hours? [Round to the nearest mg.) l 53'9\"] V d} After how many hours is there only 10% of the medicine remaining? [Round to the nearest hour.) [59'3\"]