Big Ideas Math: Modeling Real Life, Grade 8
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Big Ideas Math: Modeling Real Life, Grade 8 View details
4. Comparing Linear and Nonlinear Functions
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Exercise 8 Page 299

Calculate the rate of change between the data points.

Nonlinear, see solution.

Practice makes perfect
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.
table
We can see that as x decreases by 1, y increases by a greater 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.

points and line

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