The population of a certain country is currently 50 million and is declining at the rate of 2% a year due to natural causes. But, the population is increasing by 20,000 people a year due to immigration. Let yn be the population (in millions) after n years. Find a difference equation satisfied by yn.
A. yn = -0.02 yn-1 + 0.02, y0 = 50.
B. yn = -0.02 yn-1 - 0.02, y0 = 50.
C. yn = 0.98 yn-1 + 0.02, y0 = 50.
D. yn = 50(0.98)n.
E. none of these
Answer: C
Mathematics
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