Set 10: Exponential Functions (Advanced)
Explanation
A 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 |
3 years
4 years
2 years
5 years
Detailed Explanation
Choice B is correct. Choice B is the correct answer. The table shows populations at each year mark. 1. Check Table: At year 3, population = 8,000 (equals, not exceeds). 2. Pattern: Population doubles: . 3. Year 4: . 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.
Key Steps:
The correct answer is 4 years
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