Final answer:
The proportional relationship between x and y is represented by the equation y = 7x, with 7 being the constant of proportionality derived from the given table.
Step-by-step explanation:
The question asks for an equation that represents the proportional relationship between variables x and y as shown in the provided table. Observing the table, we can see that the ratio of y to x is consistent throughout. To find the constant of proportionality (k), we divide y by x. For example, for the first pair (9, 63), the ratio = 63 / 9 = 7. Checking the other pairs, (4, 28) and (2, 14), we see that the ratio = 28 / 4 = 7 and 14 / 2 = 7, respectively, confirming that the constant of proportionality is 7. Therefore, the equation is y = 7x.