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 - 1.2 Using Data to Create Scatterplots - 1.2 Exercises - Page 34: 37

Answer

a) $(-15,0)$ b) $(0,-10)$ c) $x=15$ d) $x=7.5$ e) $y\approx 3$

Work Step by Step

a) The $x$-intercept is the value of $x$ corresponding to $y=0$: -15. As a point, it can be written as $(-15,0)$ b) The $y$-intercept is the value of $y$ corresponding to $x=0$: -10. As a point, it can be written as $(0,-10)$ c) The value of $x$ that results in $y=-20$ is 15 because the point $(15,-20)$ belongs to the graph. $x=15$ d) The value of $x$ that results in $y=-15$ is 7.5 because the point $(7.5,-15)$ belongs to the graph. $x=7.5$ e) The value of $y$ when $x=-10$ is around 3 because the point $(-10,3)$ belongs to the graph. $y\approx 3$
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