Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 1 - Linear Functions - 1.6 Finding Linear Models - 1.6 Exercises - Page 88: 13

Answer

The student's mistake was in the settings for $X_\text{min}$ and for $X_\text{max}$. The max set was lower than the min, and the set min is higher than the max. One reasonable set of $x$-scale and $y$-scale would be: $X_{\text{min}}=-45$, $X_{\text{max}}=-5$ $Y_{\text{min}}=-20$, $X_{\text{max}}=35$

Work Step by Step

Recall: When creating a scatterplot, the following settings must be followed: $X_{\text{min}}$ should be slightly lower than the lowest $x$-value $X_{\text{max}}$ should be slightly higher than the highest $x$-value $Y_{\text{min}}$ should be slightly lower than the lowest $y$-value $Y_{\text{max}}$ should be slightly higher than the highest $y$-value The given data has the following characteristics: lowest $x$ value is $-40$ and maximum is $-10$; lowest $y$ value is $-15$ and maximum is $30$ The student's mistake was in the settings for $X_\text{min}$ and for $X_\text{max}$. The max set was lower than the min, and the set min is higher than the max. One reasonable set of $x$-scale and $y$-scale would be: $X_{\text{min}}=-45$, $X_{\text{max}}=-5$ $Y_{\text{min}}=-20$, $X_{\text{max}}=35$
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