High School

A test tube is inoculated with 100 cells of a bacterial strain that has a generation time of 30 minutes. The carrying capacity of the test tube for this strain is 6 billion cells. What will the bacterial population be after 90 minutes of culturing?

Answer :

The bacterial population be after 90 minutes of culturing is 8 × 10².

What is generation time?

In population biology and demography, generation time is the average time between two successive generations in the lineage of a population. Generation time is the time (usually hours or days) for the bacteria to divide. To convert this to a growth rate, divide 0.301 by the generation time.

For number of generation

G = t/n

Where, G = Generation time (30 minutes)

t = time (90 minutes)

n = number of generation

30 = 90/n

n = 90/30

n = 3

Now, for the final population:

Pₙ = P₀ × 2ⁿ

Where, Pₙ = Final population

P₀ = Initial population

n = number of generation

Pₙ = 100 × 2³

Pₙ = 8 × 10²

To know more about generation time, visit:

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