Question

The graph shows the cost of renting skates.

There is graph with the X-coordinate marks 0, 2, 4, and 6. The Y-coordinate mark 0, 4, 8, and 12. There are 6 small line segments. The first line segment starts at open circle point (0, 4) and ends at closed circle point (1, 4). The second line segment starts at open circle point (1, 6) and ends at closed circle point (2, 6). The third line segment starts at open circle point (2, 8) and ends at closed circle point (3, 8). The fourth line segment starts at open circle point (3, 10) and ends at closed circle point (4, 10). The fifth line segment starts at open circle point (4, 12) and ends at closed circle point (5, 12). The sixth line segment starts at open circle point (5, 14) and ends at closed circle point (6, 14).

For this function, what is the average rate of change over the interval 3.5 ≤ x ≤ 4?

A. 0
B. 0.5
C. 1
D. 2

Answer 1

The cost of renting skates is constant between 3.5 and 4, since there is no change in the height of the line segment between those values of x. Therefore, the average rate of change is 0. The answer is A. 0.