Scatter Plots & Data Analysis Online Practice

To determine the worth of the copy machine after 10 years, we can analyze the data given for the copy machine's value over time.

We know:
- At 0 years, the value is $10,500 (represented by the point (0, 10,500)).
- At 5 years, the value is $5,500 (represented by the point (5, 5,500)).

To find the annual rate of depreciation, we can calculate the change in value over the 5 years:
- Initial value at year 0: $10,500
- Value at year 5: $5,500

The change in value over 5 years is:
\[ 10,500 - 5,500 = 5,000 \]

Now, we'll find the annual depreciation:
\[ \text{Annual depreciation} = \frac{5,000}{5} = 1,000 \]

So, the copy machine loses $1,000 in value each year.

Now we can calculate the value after 10 years:
- We know that after 5 years the value is $5,500.
- In the next 5 years (from year 5 to year 10), it will depreciate an additional $5,000.

Therefore, the value after 10 years will be:
\[ 5,500 - 5,000 = 500 \]

So, the correct response is:
**After 10 years, the copy machine is worth $500.**