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Big Ideas Math: Modeling Real Life, Grade 8

BI

Big Ideas Math: Modeling Real Life, Grade 8 View details

4. Comparing Linear and Nonlinear Functions

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Exercise 2 Page 296

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.

Horizontal table of values of x and y where the values of x are 0, 3, 7, 12, so they increase by 3, 4, and 5, respectively, and the values of y are 25, 20, 15, 10, so they deccrease by 5 each time

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.

Subchapter links

Try It p.296-297

Self-Assessment for Concepts & Skills p.297

Self-Assessment for Problem Solving p.298

Review & Refresh p.299

Concepts, Skills, & Problem Solving p.299-300