Knowing that during exponential growth bacteria duplicate every 20 minutes, and that they reproduce for 2 hours, you can assume that after that time you will have 16 bacteria.
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Populations that experience exponential growth models show an increase in proportion to their size, which depends on the individual´s reproduction rate. As long as the exponential growth rate remains constant, the population will gain individuals faster while it increases its size.
Density-independence characterizes exponential growth. Populations that experience this growth live in environments with unlimited resource availability, so competition for food or other resources does not influence population growth.
There is no density-dependence effect nor competition for resources. Natality and mortality rates are not affected by density. The growth per capita rate reains constant, and it is proportional to the population size.
In the exposed example, we know that
- N₀ = 1
- T = 2 hours
- Bacteria are capable of dividing every 20 minutes
We can just perform a three simple rule. We need to duplicate the population size every 20 minutes. If we know that after 20 minutes we will have 2 cells, how many wcell there will be after 40 minutes. And so on. Since your experiment lasts 2 hours, you need to let the population divide for 160 minutes.
20 minutes --------- 2 cells → First generation
40 minutes ---------X= 4 → Second generation
60minuntes --------X= 6 → 3rth generation
80 minutes -------- X= 8 → 4th generation
100 minutes -------X= 10 → 5th generation
120 minutes -------X = 12 cells → 6th generation
140 minutes -------X = 14 cells → 7th generation
160 minutes ----- X = 16 cells → 8th generation
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