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The Number of Bacteria in a Culture Is Increasing According

Question 3

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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.

(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.

(iv) After how many hours will the bacteria count be 25,000?


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

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