7. An experiment began with 4 cells and ended with 128 cells. How many generations did the cells go through?

8. If you start out with a population density of 200 CFU/ml of a bacterium that divides every 20 minutes, what will the population density be at the end of two hours, assuming the cells are in the log phase of growth?

9. A culture of bacteria produces 5 generations in 2 hours. What is the generation time for this bacterium under those conditions?

10. A bacterial population increases from 100 to 100,000,000 cells in 15 hours. What is the generation time of this culture?

11. You determine that the ham you bought at the deli has 3 million (3 x [tex]10^6[/tex]) Staphylococcus aureus cells in it. You estimate that the deli clerk did not wash his hands after blowing his nose and probably inoculated the ham with 500 S. aureus cells. He also forgot to refrigerate it. If you bought the ham 6 hours ago, how many generations have occurred? How long is each generation?

12. Using the generation time from problem 11, how many bacteria would be present after 8 hours at room temperature?

In this question, the initial population is 100 cells and the final population is 100,000,000 cells. The time it took for the population to reach this size is 15 hours.

To calculate the generation time, we can use the formula:

Generation time = Time / Number of generations

Since the population doubles with each generation, we can calculate the number of generations by taking the logarithm base 2 of the final population divided by the initial population:

Number of generations = log2(Final population / Initial population)

Using the given values:

Number of generations = log2(100,000,000 / 100) = log2(1,000,000) = 6

Now, we can calculate the generation time:

Generation time = Time / Number of generations = 15 hours / 6 = 2.5 hours

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