Question

A company buys a copy machine for $10,500 and is represented by the ordered pair (0,10,500)(0,10,500). After 5 years, it is worth $5,500 and is represented by the ordered pair (5,5,500)(5,5,500). What will the machine be worth in 10 years?(1 point) Responses After 10 years, the copy machine is worth $500. After 10 years, the copy machine is worth $500. 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 500 years, the copy machine is worth $10.

Answer 1

are you sure

Answer 2

To find the value of the copy machine in 10 years, we need to find the rate of decrease per year.

The machine's value decreased by $10,500 - $5,500 = $<<10500-5500=5000>>5,000 over 5 years.

Therefore, the machine's value decreases by $5,000/5 years = $<<5000/5=1000>>1,000 per year.

From Year 5 to Year 10, there are 10 - 5 = 5 years.

So, the machine's value will decrease by 5 * $1,000 = $<<5*1000=5000>>5,000 in 10 years.

Subtracting $5,000 from the current value of $5,500, we find that the machine will be worth $5,500 - $5,000 = $<<5500-5000=500>>500 in 10 years.

Therefore, the correct response is:

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

Answer 3

Apologies for the confusion. Let's re-evaluate the given information to find the correct answer:

The machine's value decreased by $10,500 - $5,500 = $5,000 over 5 years.

Therefore, the machine's value decreases by $5,000/5 years = $1,000 per year.

From Year 5 to Year 10, there are 10 - 5 = 5 years.

So, the machine's value will decrease by 5 * $1,000 = $5,000 in 10 years.

Subtracting $5,000 from the current value of $5,500, we find that the machine will be worth $5,500 - $5,000 = $500 in 10 years.

Therefore, after 10 years, the copy machine is worth $500.

I apologize for the repeated response in the previous answer. Thank you for bringing it to my attention.