https://file.aiquickdraw.com/mathbot/file/1727056511805gkzaf1tl.jpg

After calculating the value of each vehicle model after 3 years, we get:

- **Compact:** $17,809.62
- **Pickup Truck:** $18,195.14
- **SUV:** $17,006.11
- **Sedan:** $17,153.61

The **SUV** model has a value closest to $17,006.11 after 3 years, so the correct answer is:

**B. SUV**

Would you like further details or have any questions?

Here are 5 related questions you might explore:
1. How is the depreciation rate calculated for different vehicle types?
2. How would the value change if the depreciation rate were higher?
3. What would be the value of each vehicle after 5 years instead of 3?
4. How can you compare depreciation rates between different assets (e.g., vehicles vs. electronics)?
5. What factors influence the depreciation rates of different models?

**Tip:** When dealing with depreciation problems, pay attention to the rate of decline each year—it's often exponential rather than linear!

Which model would have a value of $17,006.11 three years after it was purchased?

Discover which vehicle model depreciates to $17,006.11 in value after 3 years using exponential decay formulas for compact, pickup truck, SUV, and sedan models. This detailed problem helps students in Grades 9-12 understand vehicle depreciation.

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