Question

Michelle buys a motorcycle for $10,000. The motorcycle loses 20% of its value each year. The depreciation of the motorcycle is shown by the graph. After how many years is the value of the motorcycle worth $6400? A) 1 year B) 2 years C) 4 years D) 6 years

Answer 1

6400=10000(1-0.20)^t
Solve for t
T=log(6400/10000)/log(1-0.20)
T=2 years

Answer 2

The answer is b 2 years