The relationship between x, the amount of increase, and A, the area of the rectangle represented by the increase, is quadratic. Which graph could represent the area of each rectangle in terms of the change in the length and width? A graph shows change in dimensions (units) labeled 1 to 10 on the horizontal axis and area (square units) on the vertical axis. A straight line decreases from 0 to 9 units. A graph shows change in dimensions (units) labeled 1 to 10 on the horizontal axis and area (square units) on the vertical axis. A line decreases from 0 to 3 units, increases from 3 to 6 seconds, and decreases from 6 to 9 seconds. A graph shows change in dimensions (units) labeled 1 to 10 on the horizontal axis and area (square units) on the vertical axis. A line increases from 0 to 3 seconds then decreases from 3 to 9 seconds. A graph shows change in dimensions (units) labeled 1 to 10 on the horizontal axis and area (square units) on the vertical axis. A curved line decreases from 0 to 9 units.

In Mathematics, the graph of any quadratic function is parabolic because it is a u-shaped curve. For the graph of the area of each rectangle, the change in dimensions (units) would be plotted on the horizontal axis while the area (square units) would be plotted on the vertical axis.

Therefore, we can logically infer that the change in dimensions (units) would be labeled 1 to 10 with a line that increases from 0 to 3 units and then decreases from 3 to 9 units, thereby, forming a parabola (u-shaped curve).

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