Final answer:
The relationship between Caleb's and his uncle's use of bags is proportional because Caleb's uncle consistently uses 1.5 times as many bags as Caleb. Plotting this on a coordinate plane results in a straight line showing this constant ratio.
Step-by-step explanation:
The question asks whether the relationship between the number of bags used by Caleb and the number of bags used by his uncle is proportional. A relationship is proportional if the ratio between the two quantities remains constant. In this case, if Caleb's uncle always uses 3 bags for every 2 bags Caleb uses, the ratio is 3/2 or 1.5. To further explain using a coordinate plane, let's take the number of bags used by Caleb as the x-axis and the number of bags used by his uncle as the y-axis.
If we plot different points where each point represents a scenario (for example, Caleb uses 2 bags and his uncle uses 3, Caleb uses 4 bags and his uncle uses 6), we should see that these points will line up on a straight line that goes through the origin (0,0). This straight line confirms that the relationship is indeed proportional. The slope of this line will be the constant ratio of 1.5. An example can clarify this: If Caleb uses 6 bags (2 bags three times), his uncle would use 9 bags (3 bags three times). If plotted on a coordinate plane, the points (2,3), (4,6), and (6,9) would all lie on the same straight line passing through the origin, confirming the proportional relationship.