SAT Subject Biology Practice Question 449: Answer and Explanation

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Question: 449

19. Questions below wrefers to the following data obtained for a rabbit population over a period of several years.

YearNumber of rabbits
14
217
362
4245

Assuming unlimited resources, what would be the approximate expected rabbit population in Year 5 ?

A. 5000
B. 1000
C. 500
D. 300
E. 100

Correct Answer: B

Explanation:

B If the resources are unlimited, the population can continue growing exponentially. In the first year, there were 4 rabbits. In the second year, there were approximately 4 × 4 (42), or 16 rabbits. In the third year, there were 4 × 4 × 4 (43) rabbits, about 64. In the fourth year, there were approximately 4 × 4 × 4 × 4 (44) rabbits, or about 256. Following this pattern, we can assume in the fifth year there would be approximately 4 × 4 × 4 × 4 × 4 (45), or 1024 rabbits. This number is closest to choice B.

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