Question

After a laptop is purchased, it's value decreases by $150 each year. After 2 years the laptop is worth $600.

a. write an equation that represents the value V (in dollars) of the laptop x years after it is purchased.

b. what was the original value of the laptop?

c. What is the value of the laptop 5 years after it is purchased?

Answer 1

Answer: a.
`V=900-150x`

b. $900

c. $150

Explanation:

Given: The value of laptop decreases $150 each year .It means it is a linear function.

If after 2 years the laptop is worth $600.

Then the original value of laptop=
`\$600+\$150+\$150=\$900`

Now, Let V be the value of the laptop x years after it is purchased.

Then
`V=900-150x` will be the required equation .

To find the value of the laptop 5 years after it is purchased, put x=5 in the equation, we get

`V=900-150(5)\\\Rightarrow\ V=900-750\\\Rightarrow\ V=150`

Thus, the value of laptop after 5 years = $150