A certain population grows according to the model 200 NO) = I + be Of Find a formula for the model if the initial population is 50. (Express numbers in exact form. Use symbolic notation and fractions where needed.) NO = Incorrect Find a formula for the model if the initial population is 200. (Express numbers in exact form. Use symbolic notation and fractions where needed.) NO = IncorrectFind a formula for the model if the initial population is 400. (Express numbers in exact form. Use symbolic notation and fractions where needed.) NO =Produce a picture showing the graphs of the three preceding models. (Enter expressions in terms of / to graph. Separate multiple expressions with commas.) 200 NO= 1+36 -0.fit N 400 200- 0 10 15Bred boy desmotHow does the population change for each of the three initial populations? Whenever the population is above 200, it tends to grow towards the carrying capacity of the system K = 400. If the population is 400, it will stay at 400 forever. A population starting with 400 individuals will decline to get closer to a population of 50 individuals. ()Whenever the population starts at 50, it tends to grow towards the carrying capacity of the system K = 400. If the population is 200, it will stay at 200 forever. A population starting with 400 individuals will decline to get closer to a population of 50 individuals. Whenever the population is below 200, it tends to grow towards the carrying capacity of the system K = 200. If the population is above 200, it will gradually decline toward a population of 200. A population starting with 200 individuals will increase to get closer to a population of 400 individuals. ()Whenever the population is below 200, it tends to grow towards the carrying capacity of the system K = 200. If the population is 200, it will stay at 200 forever. A population starting with 400 individuals will decline to get closer to a population of 200 individuals. ncorrect