Big Ideas Math - Algebra 1, A Common Core Curriculum

Published by Big Ideas Learning LLC
ISBN 10: 978-1-60840-838-2
ISBN 13: 978-1-60840-838-2

Chapter 4 - Writing Linear Functions - 4.2 - Writing Equations in Point-Slope Form - Exercises - Page 185: 27

Answer

The data in the table cannot be modeled by a linear equation.

Work Step by Step

The rate of change for consecutive data pairs in the table. $\Rightarrow \frac{5-(-1)}{4-2}=\frac{5+1}{2}=\frac{6}{2}=3$ $\Rightarrow \frac{15-5}{6-4}=\frac{10}{2}=5$ Because the rate of change is not constant, the data in the table cannot be modeled by a linear equation.
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