Algebra-1

Question Analysis
This question evaluates the student's ability to write an exponential decay equation based on a given scenario. The key elements are the initial value and the decay factor.

Key Concept Explanation
In an exponential relationship, the dependent variable changes by a constant relative amount for each unit increase in the independent variable. The general form of an exponential equation is , where is the initial value and is the growth/decay factor. For decay, 0 < b < 1.

Step-by-step Solution
1. Identify the initial value: The initial value of the car is $25,000, so .
2. Identify the decay factor: The car depreciates by 15% each year, so

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