A car depreciates in value by 20% each year. If the initial value of the car is $35,000, what will be the value of the car after 4 years? After 4 years, the value of the car will be _______.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to apply the exponential decay formula to a real-world scenario. The key is to understand that the depreciation rate (20% per year) must be used consistently.
Key Concept Explanation
Exponential decay is characterized by a quantity decreasing at a rate proportional to its current value. In this case, the car depreciates by 20% each year, which can be modeled by the exponential function ().
Step-by-step Solution
1. Identify the initial value .
2. Determine the decay factor (depreciation by 20% each year).
3. Substitute the number of years
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