This exercise uses the population growth model. The count in a culture of bacteria was 200 after 2 hours and 12,800 after 6 hours. (a) What is the relative rate of growth of the bacteria population? Express your answer as a percentage. (Round your answer to the nearest whole number.) X % "b) What was the initial size of the culture? (Round your answer to the nearest whole number.) 25 bacteria (c) Find a function that models the number of bacteria n(t) after t hours. (Enter your answer in the form nest. Round your no value to the nearest whole number. Round your r value to two decimal places.) n(t) = 25--039t (d) Find the number of bacteria after 4.5 hours. (Round your answer to the nearest hundred.) 2682 bacteria (e) After how many hours will the number of bacteria reach 25,000? (Round your answer to two decimal places.) 6.65 hr