1
Question
Refer to the table below containing data obtained for a rabbit population over a period of several years.Year
Number of rabbits
1
4
2
17
3
62
4
245
Assuming unlimited resources, what would be the approximate expected rabbit population in year 5?
| Year | Number of rabbits |
| 1 | 4 |
| 2 | 17 |
| 3 | 62 |
| 4 | 245 |
Assuming unlimited resources, what would be the approximate expected rabbit population in year 5?
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Solution
The correct option is A 1000
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 which is approximate 1000.
Therefore, the correct answer is option 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 which is approximate 1000.
Therefore, the correct answer is option B.
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