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advanced-mathA car's value depreciates exponentially. The table shows its value over three years. What is the annual depreciation rate?
| Year | Value ($) |
|---|---|
| 0 | 30,000 |
| 1 | 24,000 |
| 2 | 19,200 |
A
20%
B
80%
C
24%
D
6%
Correct Answer: A
Choice A is the correct answer. Find the decay factor and convert to a rate.
- Decay Factor: .
- Verify: (consistent).
- Depreciation Rate: .
💡 Strategic Tip: Depreciation rate = . If the value keeps 80%, it loses 20%.
Choice B is incorrect because 80% is the retention rate (what remains), not the depreciation rate. Choice C is incorrect because this is the dollar amount lost in year 1, not the percentage rate. Choice D is incorrect because this doesn't match the pattern in the table.