Question Solved1 Answer A type of bacteria grows so that it triples in number every day. On the day that Roger begins observing the bacteria, a sample has a population of 100. a) Find the population after each of the first four days. b) write an equation to model this growth c) Assuming this trend continues, predict the population after i. 1 week ii. 2 weeks

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Transcribed Image Text: A type of bacteria grows so that it triples in number every day. On the day that Roger begins observing the bacteria, a sample has a population of 100. a) Find the population after each of the first four days. b) write an equation to model this growth c) Assuming this trend continues, predict the population after i. 1 week ii. 2 weeks
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Transcribed Image Text: A type of bacteria grows so that it triples in number every day. On the day that Roger begins observing the bacteria, a sample has a population of 100. a) Find the population after each of the first four days. b) write an equation to model this growth c) Assuming this trend continues, predict the population after i. 1 week ii. 2 weeks
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Solution: a) Calculate the population for the first 4 days. Orangize the information using a table. t tt tttDay tttPopulation tt tt ttt, ttt100 tt tt ttt1 ttt100 xx3=300 tt tt ttt2 ttt300 xx3=900 tt tt ttt3 ttt900 xx3=2700 tt tt ttt4 ttt2700 xx3=8100 tt t The initial population is   The population triples each day. b) To better illustrate the relationship between the day and the total population, express each population calculation in terms of the number of times the initial population is tripled. t tt tttDay tttPopulation tt tt ttt, ttt100 tt tt ttt1 ttt100 xx3=300 tt tt ttt2 ttt300 xx3=900 tt tt ttt3 ttt900 xx3=2700 tt tt ttt4 ttt2700 xx3=8100 tt tt ttt7 ttt100 xx3^(n) tt t After 1 day , theinitial population triples. After 2 days , the in ... See the full answer