A car depreciates in value by 15% each year. If the initial value of the car is $20,000, the value of the car after t years can be modeled by the function V(t) = _______.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's understanding of exponential decay and the ability to write an exponential function based on a given context.
Key Concept Explanation
In an exponential decay model, the value decreases by a constant factor (decay factor) for each unit of time. Here, the car depreciates by 15% each year, so the decay factor is 0.85.
Step-by-step Solution
1. Identify the initial value of the car: $20,000.
2. Determine the decay factor: Since the car depreciates by 15% each year, the decay factor is .
3. Write the exponential function:
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