You purchase an all-terrain vehicle (ATV) for $2,000.The depreciated value y after t years is given by y = 2,000 – 500t, 0 ≤ t ≤ 6. .Sketch the graph of the equation.

Question

You purchase an all-terrain vehicle (ATV)for $2,000.The depreciated value y after t years is given by y = 2,000 – 500t, 0 ≤ t ≤ 6. .Sketch the graph of the equation.

Quizplus · Accepted Answer

The graph of the equation should show a linear relationship between the years and the depreciated value. The initial value of the ATV is $2,000, and it decreases by $500 per year. Therefore, after one year, the value is $1,500, after two years it is $1,000, etc. The graph should start at (0, 2,000) and decrease by 500 for every unit of t (time) up to 6 years.

Option A is the only graph that meets these requirements. Options B, C, D, and E do not have a linear relationship and/or do not start at (0, 2,000).

You Purchase an All-Terrain Vehicle (ATV)for $2,000