Question

1) You are told that a starting population of 1000 bacteria grows exponentially at a rate of 30% per hour, what will the population of bacteria be 4 hours after the start of the experiment?

answers to choose from:

a) 2197

b) 2856

c) 3713

d) 4000

2) If you knew the same colony of 1000 bacteria had a carrying capacity of 10,000 and an initial growth rate of 30%, what would the population pf bacteria be after 10 hours after the start of experiment? (round to the nearest whole bacteria)

answers to choose from:

a) 7281

b) 10,000

c) 5910

d) 6619

p.s. please show me how to solve it!

Answer 1

Solution: Part-1: Starting Population = 1000 Growth rate per hour = 30% Population of bacteria 4 hours after the start of the experiment = 1000 x (1 + 30%)4 ~ 2856 Part-2: Starting Population = 1000 Growth rate per hour = 30% Population of bacteria 10 hours after the start of the experiment = 1000 x (1 + 30%)10 ~ 13786 Given that the carrying capacity is 10,000; hence, the population of bacteria 10 hours after the start of the experiment cannot exceed 10,000. Hence, population of bacteria 10 hours after the start of the experiment = 10000