exercise uses the population growth model. count in a culture of bacteria was 400 after 2 hours and 25,600 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 numb X % (b) What was the initial size of the culture? (Round your answer to the nearest whole number.) X bacteria (c) Find a function that models the number of bacteria n(t) after t hours. (Enter your answer in the form noet. Round your no value to the nearest wh your r value to two decimal places.) n(t) = (d) Find the number of bacteria after 4.5 hours. (Round your answer to the nearest hundred.) X bacteria (e) After how many hours will the number of bacteria reach 50,000? (Round your answer to two decimal places.) X hr

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