Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 5 - Linear Functions - 5-1 Rate of Change and Slope - Lesson Check: 1

Answer

The rate is constant.

Work Step by Step

In order to determine if a rate is constant, divide the change in the dependent variable by the change in the independent variable between every two points and see if they are the same. For every increase in the number of pencils by 3, the cost increases always by .75 except for the last two data points. For the last two data points, the number of pencils increases by 5, but the cost increases by 1.25. However, because .75/3 equals 1.25/5, the rate is still the same, meaning that the rate is constant.
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