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 $

Question

3 years ago

14

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.

Mathematics

1 answer:

Alla [95] · Answer 1 · 2021-12-27T00:27:36+03:00

Alla [95]3 years ago

3 0

Answer:

$Annual\ rate\ of\ change=\$ 4625$

Step-by-step explanation:

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