Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 1 - Expressions, Equations, and Inequalities - 1-1 Patterns and Expressions - Practice and Problem-Solving Exercises - Page 7: 14


$c = 5(n + 1)$

Work Step by Step

The first figure has 10 circles. The second has 15. The third has 20, and so on. It is clear each figure has five circles more than the previous figure. If we divide the number of circles in each figure by 5, we get 2, 3, 4, 5 in that order. The input for each figure is 1, 2, 3, 4. These values are one less than the number of circles divided by 5, respectively. Therefore, n (the input) increased by 1 and multiplied by 5 is the number of circles (the output). The process column shows this for each input and output.
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