The table shows the relationship between two variables. Which selection describes the
relationship?
x y
1 2
2 –3
3 –8
4 –13
(1 point)
increasing; linear
increasing; non-linear
decreasing; linear
decreasing; non-linear
decreasing; linear
To determine the relationship between the variables, we can examine the changes in y as x increases.
In this table, as x increases by 1 each time, y decreases by a constant amount. Therefore, the relationship is decreasing.
Since the change in y is constant for every increase in x, the relationship is linear.
Hence, the correct selection would be: decreasing; linear.