ANSWER -
To find the constant of proportionality for the proportional relationship shown on the graph, we need to determine the slope of the line.
The slope of a line passing through two points (x1, y1) and (x2, y2) is given by:
slope = (y2 - y1) / (x2 - x1)
Using the coordinates given in the problem, we can calculate the slope of the line:
slope = (7 - 0) / (0.5 - 0) = 14
Therefore, the constant of proportionality is 14, which means that as x increases by 1, y will increase by 14.
So, the correct answer is p = 14.