Question

For which values is the relationship linear? Tell how you decided. Write the equation for each linear relationship
x 5 10 15 20 25 30
y 20 30 40 50 50 50

Answer 1

It is linear from x = 5 to x = 20 because the ratio of the change in y to the change in x is a constant over that interval. There is a different linear relationship (y = constant)for 20<x<30.

The slope is discontinuous at x=20. Two linear lines join there (if you were to plot a graph).

Answer 2

I still can't quite grasp it but your explanation is very helpful. Thank you!