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In the year 2009, Chris's motorcycle had a value of $16,500 $ ⁢ 16,500 . When he bought the motorcycle in 2005 he paid $35,000 $ ⁢ 35,000 . If the value of the motorcycle depreciated linearly, what was the annual rate of change of the motorcycle's value? Round your answer to the nearest hundredth if necessary.

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sam4040

Answer:

[tex]Annual\ rate\ of\ change=\$ 4625[/tex]

Step-by-step explanation:

[tex]In\ 2005\ value\ of\ motorcycle=\$ 35000\\\\In\ 2009\ value\ of\ motorcycle=\$ 16500\\\\Change\ in\ the\ value=35000-16500\\\\Change\ in\ the\ value=\$ 18500\\\\Number\ of\ years=4\\\\Annual\ rate\ of\ change=\frac{change\ in\ value}{Number\ of\ years}\\\\Annual\ rate\ of\ change=\frac{18500}{4}\\\\Annual\ rate\ of\ change=\$ 4625[/tex]

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