A company buys a copy machine for $10,500 and is represented by the ordered pair (0,10,500)

Question

. After 5 years, it is worth $5,500 and is represented by the ordered pair (5,5,500)
. What will the machine be worth in 10 years?(1 point)
Responses

After 10 years, the copy machine is worth $10,500.
After 10 years, the copy machine is worth $10,500.

After 10 years, the copy machine is worth $9,500.
After 10 years, the copy machine is worth $9,500.

After 10 years, the copy machine is worth $500.
After 10 years, the copy machine is worth $500.

After 500 years, the copy machine is worth $10.

Answer 1

To determine the worth of the copy machine in 10 years, we can assume a straight-line depreciation based on the given values.

1. At year 0, the value of the machine is $10,500.
2. At year 5, the value of the machine is $5,500.

We can calculate the annual depreciation first:

\[ \text{Depreciation over 5 years} = 10,500 - 5,500 = 5,000 \]

\[ \text{Annual depreciation} = \frac{5,000}{5} = 1,000 \]

Now, we can find out the value of the machine at 10 years:

\[ \text{Depreciation from year 5 to year 10} = 1,000 \times 5 = 5,000 \]

\[ \text{Value at year 10} = 5,500 - 5,000 = 500 \]

Thus, after 10 years, the copy machine will be worth $500.

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