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This video discusses exponential growth and decay problems related to population growth. The key equation is dp/dt = k * p, where dp/dt represents the population growth rate, k is the relative growth rate, and p is the population size at a given time. For example, if a sample of 1000 bacteria grows 50 cells per hour, doubling the population to 2000 bacteria would result in a growth rate of 100 cells per hour. This shows that the rate of population growth is proportional to the population size.