Final answer:
There are 0 proportional relationships shown on the coordinate plane provided, as none of the depicted lines reflect a consistent ratio nor pass through the origin, which is required for such a relationship.
Step-by-step explanation:
The question is asking how many proportional relationships are shown in the coordinate plane provided. A proportional relationship is one in which two quantities maintain a consistent ratio to one another and can be represented by a straight line through the origin (0,0) on a coordinate plane. However, based on the information given in the example plots, the line from (0,2) to (3,2) and the line from (0,8) to (3,2) are horizontal lines which mean they have a slope of 0 and do not pass through the origin, hence they are not representing a proportional relationship. The line from (0,3) to (3,3), also being a horizontal line, indicates the same. Therefore, the answer is A. 0 proportional relationships are shown on the coordinate plane.