Answer:
A. 30%
Step-by-step explanation:
We have been given that last year, Ken bought a mountain bike for $460. His bike has depreciated since he bought it. It is now worth $320.
We will use percent change formula to solve our given problem.
[tex]\text{Percent change}=\frac{\text{Final value}-\text{Initial value}}{\text{Initial value}}\times 100[/tex]
[tex]\text{Percent change}=\frac{320-460}{460}\times 100[/tex]
[tex]\text{Percent change}=\frac{-140}{460}\times 100[/tex]
[tex]\text{Percent change}=-0.304347826\times 100[/tex]
[tex]\text{Percent change}=-0.30.4347826\%[/tex]
[tex]\text{Percent change}\approx -0.30\%[/tex]
Since the percent change in negative, so it represents depreciation.
Therefore, Ken's bike depreciate approximately 30% over the past year.
