A second study of the country in Exercise 54 indicates that natural restrictive forces are at work that make the actual rate of growth

instead of the exponential rate P'₁(t) = 10e^0.02t. If this rate is correct, how much smaller will the population be in the year 2015 than if the exponential rate were correct?

Data from Exercises 54

The population of a third-world country grows exponentially at the unsustainable rate of P'₁(t) = 10e^0.02t thousand people per year where t is the number of years after 2005. A study indicates that if certain socioeconomic changes are instituted in this country, then the population will instead grow at the restricted rate P'₂(t) = 10 + 0.02t + 0.002t² thousand people per year. How much smaller will the population of this country be in the year 2015 if the changes are made than if they are not?

Transcribed Image Text:

P3(t) = 20e0.02t 1 + €0.021