Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 1 - Foundations for Algebra - 1-9 Patterns, Equations, and Graphs - Got It? - Page 62: 2

Answer

a) See the table, equation, and graph below. b) The line graph will be steeper.

Work Step by Step

a) Table: The table below shows the number of laps that Will and Megan run at the track. Equation: Let $x$ be the number of laps that Megan runs and $y$ be the number of laps that Will runs. Since Will has run 6 laps before Megan started running, and they run at the same pace, then the relationship of the number of laps they ran is $$ y=x+6 $$ Graph: The graph below shows the number of laps that Will and Megan run at the track. b) If the age difference were $5$ instead of $2$, the graph would show a line with a steeper inclination.
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