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 1 Page 296

Calculate the rate of change between the data points.

Linear, 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 2, 4, 6, 8, so they increase by 2, and the values of y are -8, -4, 0, 4, so they increase by 4
We can see that as x increases by 2, y increases by 4 each time. The rate of change is constant, so this function is linear.

Checking Our Answer

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

points and line

The points fall on a line. Therefore, the function is linear.