Answer:
The value at the end of year 2 is $4400.
Step-by-step explanation:
The best approach here is to determine the expression for the line depreciation and then calculate the depreciation value at x = 2 years.
A line is given by
[tex]y = mx + b[/tex]
where m is the slope and b the bias (aka y-intercept). You can determine both directly from what is given. The slope is change in y divided by change in x. We know that over 5 years the car loses (500-7000)=-6500 in value. So, the slope is m=-6500/5 (note the negative sign). At time 0, the y-intercept is 7000, since that is the initial value (at year 0). So our line function is fully identified:
[tex]y = -\frac{6500}{5}x+7000[/tex]
and gives you the value of the car in any given year. To answer the question, we now plug in 2 as value of x:
[tex]y=-\frac{6500}{5}\cdot 2 + 7000= 4400[/tex]
