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 33: 34

Answer

part a: (10,0) part b: (0,-50) part c: x=110 part d: x=-30 part e: y=450

Work Step by Step

part a: By looking at the graph, the x-intercept is where the line intersects the horizontal axis. That would be 10. Written in proper form as an (x,y) coordinate, the answer would be (10,0). part b: By looking at the graph, the y-intercept is where the line intersects the vertical axis. That would be -50. Written in proper form as an (x,y) coordinate, the answer would be (0,-50). part c: We know that we are looking for the x value that makes y=500 true. (x,500) is a better way to visualize this. At y=500 on the graph, the line reaches 110 on the x-axis. part d: We know that we are looking for the x value that makes y=-200 true. (x,-200) is a better way to visualize this. At y=-200 on the graph, the line reaches -30 on the x-axis. part e: We know that we are looking for the y value that makes x=100 true. (100,y) is a better way to visualize this. At x=100 on the graph, the line reaches 450 on the y-axis.
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