To find the rate of change of the DVD player's resale value over time based on the points given, we can use the formula for the slope of a line, which is:
\[ \text{slope} = \frac{\text{change in value}}{\text{change in time}} = \frac{y_2 - y_1}{x_2 - x_1} \]
From the points provided:
- \( (0, 300) \) represents the value of the DVD player at time 0 years (original purchase).
- \( (4, 0) \) represents the value of the DVD player at time 4 years.
Using these points, we can calculate the slope:
\[ y_1 = 300, \quad y_2 = 0, \quad x_1 = 0, \quad x_2 = 4 \]
Now, plug in the values:
\[ \text{slope} = \frac{0 - 300}{4 - 0} = \frac{-300}{4} = -75 \]
This means the rate of change is \(-75\), indicating that the value drops $75 every year.
So, the correct response is:
–75; The value drops $75 every year.