Question

Do these tables of values represent linear functions or nonlinear functions?

Answer 1

Answer:

1. Nonlinear

2. Nonlinear

3. Linear

Step-by-step explanation:

Hello there!

To solve this question, let's figure out a ratio of how much an x variable goes up by how much the y goes up. If it is a linear function (meaning a straight line), this ratio should stay consistent throughout the whole data plot.

For the first one, we can see that x is going up by 1, and so is y. But on the second to last, it jumps up once on the x value by 1, but y went up by two. This is not a consistent ratio and is considered nonlinear.

For the second one, we can see that for every x value going up 1, the y goes up by 1 too, as seen between the transition from the x values 1 to 2. However, when it goes from 2 to 4, the correct y value, if linear, should be 5.8. This is nonlinear.

The last one says that when x goes up by one, y value decreases by 2. this stays consistent all around and is linear.