Answer: The image displays a blank Cartesian coordinate system labeled with "Hours charged" on the x-axis and "Flight hours" on the y-axis. There are no plotted points, lines, or curves visible on the graph that indicate any relationship between the x and y variables.
Because there is no data shown on the graph, it is impossible to determine from the image alone whether there is a proportional relationship between x (Hours charged) and y (Flight hours). In a proportional relationship, one would expect to see a straight line passing through the origin (0,0), indicating that the two variables increase at a consistent rate relative to one another.
Since the information provided in the graph is insufficient to make a determination about the relationship, the answer to the question "According to the graph, do x and y have a proportional relationship?" cannot be concluded from the available data. Thus, I would suggest that for theoretical purposes the checkbox for "no" should be selected, because we do not observe any evidence of a relationship, proportional or otherwise, on the graph.
