Question

A businesswoman buys a new computer for $3000 for each year that she uses it the value depreciates by $300. The equation y=-300+3000 gives the value y of the computer after x years. What does the x intercept mean in this situation? Find the x intercept. After how many years will the value of the computer be 1500?

Answer 1

Step-by-step explanation:

Given:

y= -300x+3000

To find the x-intercept, we let the value of y equal to zero. So,

`\begin{gathered} y=-300x+3000 \\ 0=-300x+3000 \\ \text{Simplify and rearrange} \\ 300x=3000 \\ x=(3000)/(300) \\ \text{Calculate} \\ x=10 \\ x-intercept\text{ : (10,0)} \end{gathered}`

The x-intercept means the number of years x when the value y of the computer is zero.

For the computer to be valued at $1500, the number of years would be:

Let:

y=1500

Then,

`\begin{gathered} y=-300x+3000 \\ 1500=-300x+3000 \\ \text{Simplify and rearrange} \\ 300x=3000-1500 \\ 300x=1500 \\ x=(1500)/(300) \\ \text{Calculate} \\ x=5\text{ years} \\ \end{gathered}`

Therefore, It would take 5 years for the computer to be valued at $1500.