a small population of 1,000 mice lives on a 100-acre island in the middle of a large lake. one dry summer, the lake level drops dramatically, which results in the island's size increasing to 1,000 acres. the island remains this size, vegetation quickly spreads, and the mouse population grows, doubling in size each year for three straight years. however, the hawk populations expand too. from the fourth year until the present, the death rate of the mouse population has been equal to the birth rate. which of the following statements about this population of mice is true?