Answer:
Explanation:
A linear relationship is proportional if it can be expressed in the form y = kx, where k is a constant of proportionality. In other words, the ratio of y to x is always the same.
To determine if each table represents a proportional relationship, we need to check if the ratios of y to x are constant for each table.
x -1 0 1, y -3 -2 -1
The ratios of y to x are 3/1, 2/0 (undefined), and 1/1. These ratios are not constant, so this table does not represent a proportional relationship.
x -2 0 2, y -3 0 3
The ratios of y to x are 3/-2, 0/0 (undefined), and 3/2. These ratios are not constant, so this table does not represent a proportional relationship.
x -2 0 2, y 0 2 3
The ratios of y to x are 0/-2, 2/0 (undefined), and 3/2. These ratios are not constant, so this table does not represent a proportional relationship.
x -2 0 2, y 2 4 6
The ratios of y to x are 2/-2, 4/0 (undefined), and 6/2. These ratios are constant at -1, 0 (undefined), and 3, respectively. Therefore, this table represents a linear relationship that is also proportional.
Therefore, the table with x -2 0 2 and y 2 4 6 represents a linear relationship that is also proportional.