Question #349168

There are 10000 people living in a certain city. Suppose that the rate of population growth in the city is proportional to the number of inhabitants. Suppose that 20% of the original amount increase in 20 years, how much will the population in the city after 40 years?

Expert's answer

Given "y(0)=10000, y(20)=1.2y(0)."

Then

"e^{20k}=1.2"

"y(40)=14400"

There will be 14400 people in a city after 40 years.

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