Exercise 2 Page 296

We want to determine whether the given table represents a linear or nonlinear function. To do this, we will calculate the rate of change between data points.

We can see that as y decreases by 5, x increases by a bigger amount each time. The rate of change is not constant, so this function is nonlinear.

Checking Our Answer

We can check our answer by graphing the points on a coordinate plane.

The points do not fall on a line. Therefore, the function is non linear.