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 32: 31

Answer

part a: (0,5) part b: (4,0) part c: -10 part d: 15 part e: -8

Work Step by Step

part a: By looking at the graph, the y-intercept is where the line intersects the vertical axis. That would be 5 . Written in proper form as an (x,y) coordinate, the answer would be (0,5). part b: By looking at the graph, the x-intercept is where the line intersects the horizontal axis. That would be 4. Written in proper form as an (x,y) coordinate, the answer would be (4,0). part c: We know that we are looking for the input or x value that makes the output=18 or y=18 true. (x,18) is a better way to visualize this. At y=18 on the graph, the line reaches -10 on the x-axis. part d: We know that we are looking for the input or x value that makes the output=-15 or y=-15 true. (x,-15) is a better way to visualize this. At y=-15 on the graph, the line reaches about 15 on the x-axis. part e: We know that we are looking for the output or y value that makes the input=10 or x=10 true. (10,y) is a better way to visualize this. At x=10 on the graph, the line reaches about -8 on the y-axis.
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