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 9: 38

Answer

$-18$, $7 - 5n$

Work Step by Step

Let $n$ be input and $y$ be output. From the given table we notice that the pattern is the following: $$y = 7-5n$$ We calculate the output for $n = 5$: $$y=7-5(5)=-18$$ Now we complete the table: \[ \begin{array}{|c|c|} \hline \textbf{Input} & \textbf{Output}\\ \hline 1& 2 \\ \hline 2 & -3\\ \hline 3 & -8 \\ \hline 4 & -13 \\ \hline 5 & -18 \\ \hline : & : \\ \hline n & 7-5n \\ \hline \end{array} \]
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