The number of bacteria in a culture is increasing according to the law of exponential growth. After 1 hour0 there are 135 bacteria in the culture and after 2 hours there are 395 bacteria in the culture. Answer the following questions, rounding numerical answers to four decimal places.
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(I) Find the initial population.
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(II) Write an exponential growth model for the bacteria population. Let t represent time in hours.
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(III) Use the model to determine the number of bacteria after 4 hours.
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(IV) After how many hours will the bacteria count be 10,000?
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A. (I) 46.1397; (II) ; (III) 4,694.2310; (IV) 7.3444 hr
B. (I) 48.2897; (II) ; (III) 6,068.9482; (IV) 9.5724 hr
C. (I) 46.1397; (II) ; (III) 3,381.4969; (IV) 5.0099 hr
D. (I) 51.9197; (II) ; (III) 8,820.4016; (IV) 11.6836 hr
E. (I) 53.4797; (II) ; (III) 11,472.8651; (IV) 13.463 hr
Answer: C
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