Do these tables of values represent linear functions or nonlinear functions? Drag each table into the box to correctly classify it.

Linear

Nonlinear

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.

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.

20%

step-by-step explanation: