A.6.1.3 Plotting the Measurements of the Garden

Plot some values for the length and area of the garden on the coordinate plane below. What do you notice about the plotted points?

The points (3, 66) and (22, 66) each represent the length and area of the garden. Plot these 2 points on coordinate plane, if you haven’t already done so. What do these points mean in this situation?

Could the point (1, 25) represent the length and area of the garden? Explain how you know.

Is the graph linear?

If we plot a bunch more points—say for every whole-number length between 0 and 25—what do you think the graph would look like?

Can we tell if a point represents the length and area of the garden simply by plotting it on the graph? For example, does (1.5, 200) represent the length and area? What about (23, 60)?