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: 34

Answer

Input - Output 6 - 18 7 - 21 8 - 24

Work Step by Step

a) We make a table for the inputs and outputs: \begin{array}{|c|c|} \hline \text{Input} & \text{Output}\\\hline 1 & 3 \\ \hline 2 & 6 \\ \hline 3 & 9 \\ \hline 4 & 12 \\ \hline 5 & 15 \\ \hline \end{array} We notice that each output is $3$ times the input: $$\text{Output} = 3\cdot \text{Input}$$ b) We calculate the outputs for the inputs $6$, $7$ and $8$: $\text{Input}=6\Rightarrow \text{Output}=3\cdot 6=18$ $\text{Input}=7\Rightarrow \text{Output}=3\cdot 7=21$ $\text{Input}=8\Rightarrow \text{Output}=3\cdot 8=24$
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