The equation that shows the relationship in the table is Ay = 2x because the number of trees planted (y) is always twice the number of weeks (x).
By = 2x + 40: This equation would result in a y-intercept of 40, which is not supported by the data in the table.
Cy = 20x: This equation would result in a slope of 20, which is also not supported by the data in the table.
Dy = 40x: This equation would result in a slope of 40, which is twice the slope of the correct equation.
So in conclusion, we say that the only equation that is consistent with the data in the table is Ay = 2x.