(Solution) - A bacteria culture grows with constant relative growth rate Aft -(2025 Original AI-Free Solution)

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Academic Level: Undergrad. (yrs 3-4)

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A bacteria culture grows with constant relative growth rate. After 2 hours there are 600 bacteria and after 8 hours the count is 75,000.
(a) Find the initial population.
(b) Find an expression for the population after hours.
(c) Find the number of cells after 5 hours.
(d) Find the rate of growth after 5 hours.
(e) When will the population reach 200,000?