Say that we assume synchronized generations where each bacterium has a 57% chance of reproducing each generation. The initial population is 5. Let t represent one generation, and pt the population at generation t.
Answers
Say that we assume synchronized generations where each bacterium has a 57% chance of reproducing each generation. The initial population is 5. Let t represent one generation, and Pt the population at generation t.
(a) Give a finite difference model Pt+1 in terms of Pt. (Use Pt as your variable.) Pt+1 =
(b) Give a formula for Pt in terms of t.
Pt =
(c) How many cells are there after 10 generations? (Give your answer correct to at least four decimal places.)
cells
(d) How many generations does it take for the population to exceed 1000 bacteria? (Round your answer up to the nearest integer.)
generations
pt2:
We encounter an alien species. This species, instead of dividing into two, divides into three. That is, each parent bacterium, when it reproduces, splits into three child cells. Assume that each cell has the same 57% chance of reproducing, and the initial population is 5.