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The rate of population growth of a certain city is proportional to the population at any time t. (a) Write a differential equation that models that...

Can someone please explain part B in depth? Not sure how my teacher got the answer.

Screen Shot 2019-05-02 at 5.26.12 PM.png

Screen Shot 2019-05-02 at 5.26.12 PM.png

31. The rate of population growth of a certain city is proportional to the population at any time t. (a) Write a differential equation that models that population of the city at time t. (b) Predict the population in 2010 if the population in 1990 was 100,000 and the population in 2000 was
150,000.

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