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

Question

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

Quizplus · Accepted Answer

The Answer of 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

The Number of Bacteria in a Culture Is Increasing According