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 89: 14

Answer

The student's mistake was he interchanged the settings for the $x$-scaleand $y$-scale. One reasonable set of $x$-scale and $y$-scale would be: $X_{\text{min}}=50$, $X_{\text{max}}=750$ $Y_{\text{min}}=2$, $X_{\text{max}}=12$

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 $100$ and maximum is $700$; lowest $y$ value is $4$ and maximum is $10$ The student's mistake was he interchanged the settings for the $x$-scaleand $y$-scale. One reasonable set of $x$-scale and $y$-scale would be: $X_{\text{min}}=50$, $X_{\text{max}}=750$ $Y_{\text{min}}=2$, $X_{\text{max}}=12$
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