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
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