Kenda11
contestada

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?

Respuesta :

JeanaShupp

Answer: a. [tex]V=900-150x[/tex]

b.  $900

c. $150

Step-by-step 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=[tex]\$600+\$150+\$150=\$900[/tex]

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

Then [tex]V=900-150x[/tex] 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

[tex]V=900-150(5)\\\Rightarrow\ V=900-750\\\Rightarrow\ V=150[/tex]

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