Suppose a Country's Population at Any Time T Grows in Accordance

Short Answer

Suppose a country's population at any time t grows in accordance with the rule ​ where P denotes the population at any time t, k is a positive constant reflecting the natural growth rate of the population, and I is a constant giving the (constant) rate of immigration into the country. The population of the United States in the year 1980 was 224.5 million. Suppose the natural growth rate is 0.8% annually and net immigration is allowed at the rate of 0.5 million people/year until the end of the century. What will be the U.S. population in 2003? Round the answer to the nearest tenth of a million, if necessary. P=__________ million