A grocery bag contains x apples, each weighing 1 third of a pound, and y pounds of grapes. The total weight of the grocery bag is less than 5 pounds. Which graph represents the possible numbers of apples and pounds of grapes that can be in the bag?

The apples weigh a total of x/3 pounds, so the bag’s weight is x/3 + y. Since it must weigh less than 5 pounds, x/3 + y < 5, or y < 5 − x/3. The boundary line crosses the axes at (0, 5) and (15, 0), and because the inequality is strict, the line is dashed; the possible contents are below it. This matches the graph with apples on the x-axis and grapes on the y-axis shaded below the line.

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