A test tube is inoculated with [tex]1 \times 10^3[/tex] cells of a bacterial strain that has a generation time of 30 minutes. The carrying capacity of the test tube for this strain is [tex]6 \times 10^9[/tex] cells. What will the bacterial population be after 90 minutes of culturing?

After 90 minutes of culturing, the bacterial population will be 8 x 10^3 cells.

To calculate the bacterial population after 90 minutes, we first need to determine the number of generations that have occurred. Since the generation time is 30 minutes, and we have a total time of 90 minutes, the number of generations is:
90 minutes / 30 minutes per generation = 3 generations
Now, to calculate the bacterial population after 3 generations, we multiply the initial population (1 x 10^3 cells) by 2 raised to the power of the number of generations (3):
Population = Initial population x 2^(Number of generations)
Population = 1 x 10^3 x 2^3
Population = 1 x 10^3 x 8
Population = 8 x 10^3 cells
After 90 minutes of culturing, the bacterial population will be 8 x 10^3 cells. Note that the carrying capacity (6 x 10^9 cells) is not yet reached in this time frame.

Learn more about culturing here:

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