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advanced-mathA population starts at 1,000 and doubles every year. After how many years will the population first exceed 8,000 based on the table?
| Year | Population |
|---|---|
| 0 | 1,000 |
| 1 | 2,000 |
| 2 | 4,000 |
| 3 | 8,000 |
A
3 years
B
4 years
C
2 years
D
5 years
Correct Answer: B
Choice B is the correct answer. The table shows populations at each year mark.
- Check Table: At year 3, population = 8,000 (equals, not exceeds).
- Pattern: Population doubles: .
- Year 4: .
- Conclusion: First exceeds 8,000 at year 4.
💡 Strategic Tip: "Exceed" means strictly greater than, not equal to.
Choice A is incorrect because at year 3, the population equals 8,000, not exceeds. Choice C is incorrect because at year 2, population is only 4,000. Choice D is incorrect because the population exceeds 8,000 before year 5.