The population of a country is now 265 million with a 7% per year death rate and a 5% per year birth rate. Each year 100,000 people immigrate to the country. Let yn be the population (in millions) of the country at the end of year n. Find a difference equation satisfied by yn.
A. yn = 1.02yn-1 - 0.1, y0 = 265.
B. yn = 1.02yn-1 +0.1, y0 = 265.
C. yn = 0.98yn-1 + 0.1, y0 = 265.
D. yn = 0.98yn-1 - 0.1, y0 = 265.
E. none of these
Answer: C
Mathematics
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