Final answer:
To find the constant of proportionality in a given table, examine the data and substitute it into the equation y = kx.
Step-by-step explanation:
From the given information, we know that the equation representing the data in the table is y = kx, where y and x are variables and k is the constant of proportionality.
To find the value of k, we need to examine the data in the table and determine how y and x are related. Once we have a set of values for y and x, we can substitute them into the equation y = kx and solve for k.
Without the actual data from the table, we cannot determine the value of k. The answer choices provided (a) k = 6.4, (b) k = 5.6, (c) k = 8.0, and (d) k = 4.8, are possibilities for the value of k based on the given options, but we cannot confirm which one is correct without the actual data from the table.