Question

A bacteria culture population of 50 bacteria doubles in size every 20 minutes. (8 marks)

a. Establish the function rule that models this situation and graph it.

b. How long will it take for the bacterial culture grow to a population of 250 000?

https://i.gyazo.com/2983af215c10aa16297e9001aa2d5210.png 

Answer 1

Time. Solved Using formula; A=P.69 Gerowth rate (tercules) Initial population Final amount Here t= 20 minutes A=P(6) 7 7/20 (A =P (20 40 p=50 . 'A= 250000 ㅋ 250000 = SOC2.JP/20 5000 = 24/20 Taking In leoth the sides. 20 Insoco it In (2) it 20 In (5000) In (2) it = 245.754 minutes. 6 Time taken for the bacteria culture to to a population grow of 250ooo Is 245.754 minutes

rule Function that models the situation and Graph is shown Below; A=P (27620 Answer 7/20 A = 50 (2)

30000- 20000- 10000 0 100 200 (0, 50) 《