The Number of Bacteria in a Culture Is Increasing According

question 3

Multiple Choice

The number of bacteria in a culture is increasing according to the law of exponential growth. After 2 hours there are 135 bacteria in the culture and after 4 hours there are 390 bacteria in the culture. Answer the following questions, rounding numerical answers to four decimal places. ​
(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.
​
(iii) Use the model to determine the number of bacteria after 8 hours.
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(iv) After how many hours will the bacteria count be 25,000?
​

• A) (i) 46.7341; (ii) ; (iii) 4,566.8441; (iv) 14.1787 hr
• B) (i) 48.8841; (ii) ; (iii) 5,941.5613; (iv) 16.4067 hr
• C) (i) 46.7341; (ii) ; (iii) 3,254.11; (iv) 11.8442 hr
• D) (i) 52.5141; (ii) ; (iii) 8,693.0147; (iv) 18.5179hr
• E) (i) 54.0741; (ii) ; (iii) 11,345.4782; (iv) 20.2973 hr

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