Final answer:
From the provided options, (A) (4,4) is the closest to forming a proportional relationship with some of the points in the table based on the constant ratio rule of proportionality. However, none of the choices result in a precise proportional relationship with the given points.
Step-by-step explanation:
To find which ordered pair creates a proportional relationship with the given points in the question, we must understand what defines a proportional relationship. Points are proportional if they lie on a straight line passing through the origin (0,0), with the same constant ratio (slope) between the x and y values. This means for any two points (x1, y1) and (x2, y2) that are proportional, the ratio y1/x1 should be equal to y2/x2.
Looking at the table provided with points (1,5), (2,10), (3,7), and (4,14), a proportionality can be noticed for some points where y is a multiple of x. For (1,5) and (4,14), we can see they fit a ratio of k where y = kx, since 5/1 = 5 and 14/4 = 3.5, the ratio is not consistent across all points thus not all are proportional. Additionally, the plot from (0,8) to (3,2) does not show proportionality since the y-value decreases while the x-value increases, which breaks the rule of a constant ratio.
From the options provided, we can check which pairs have a constant relationship with the given table: (A) (4,4) has a ratio of 1, (B) (6,9) has a ratio of 1.5, (C) (9,6) has a ratio of 0.67, and (D) (8,5) has a ratio of 0.625. None of these ratios match exactly with the ratios in the table. However, we can interpret the question as looking for the ordered pair that could form a line with the same slope as any of the points given in the table. To do this, we would compare the ratios (slopes) of (1,5) and (2,10) which equal 5, reflecting a directly proportional relationship. Therefore, the ordered pair that would form such a proportional relationship with (1,5) and (2,10) is (4,4), which demonstrates the same ratio of y to x (4/4 = 1, taking into account that the constant proportion is 5, then x should be multiplied by this proportion to obtain a proportional y value, implying (5,25) would be an exact match instead of (4,4), but within the choices given (A) is the closest).