Question

part a
graph the relationship for 0, 1, 2, 3, and 4 pumpkins on the coordinate plane.
part b
complete the sentence to describe the proportionality of the graph.
the relationship shown in the graph is select choice because it is a straight line that select choice the origin.

Explanation:

Step1: Identify data points

We assume there is a relationship between the number of pumpkins (x - values: 0, 1, 2, 3, 4) and some other variable (y - values, not given explicitly but we can plot the x - values on the horizontal axis). For x = 0, we have a point (0,y0), for x = 1 we have (1,y1), for x = 2 we have (2,y2), for x = 3 we have (3,y3) and for x = 4 we have (4,y4). We plot these points on the given coordinate - plane with the number of pumpkins on the x - axis and the other variable on the y - axis.

Step2: Determine proportionality

A relationship is proportional if it is a straight - line graph that passes through the origin (0,0). If the straight line of the graph passes through the origin, the relationship is proportional; if it does not pass through the origin, the relationship is non - proportional.

Answer:

Part A: Plot the points (0,y0), (1,y1), (2,y2), (3,y3), (4,y4) on the given coordinate plane where the x - axis is labeled "Number of Pumpkins" and the y - axis is labeled (the other variable).
Part B: The relationship shown in the graph is proportional because it is a straight line that passes through the origin; or non - proportional because it is a straight line that does not pass through the origin. (We need to actually see the plotted points and the line to make a definite choice between "proportional" and "non - proportional").