Question

A coordinate plane showing eight plotted points in a curved line. The points are at, (1, 0), (2, 25), (3, 50), (4, 80), (5, 190), (6, 200), (7, 275), (8, 400).
Is the graphed function linear?

Yes, because each input value corresponds to exactly one output value.
Yes, because the outputs increase as the inputs increase.
No, because the graph is not continuous.
No, because the curve indicates that the rate of change is not constant.

Answer 1

No — because the curve indicates the rate of change is not constant.

Check successive changes in output: 25, 25, 30, 110, 10, 75, 125. Those are not equal, so the slope is not constant and the relationship is not linear.