Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 4 - An Introduction to Functions - 4-2 Patterns and Linear Functions - Mixed Review - Page 245: 27

Answer

Let you represent y and let your friend represent x Equation: y=x+3 Table: X | Y (0 , 3) (1 , 4) (2 , 5) (3 , 6) (4 , 7)
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Work Step by Step

We can model the relationship through the equation y=x+3 because since you are 3 ahead of your friend and you and your friend go one place forward each time, the slope becomes 1 and the y-intercept become (0,3), thus forming the equation. The table can be formed by plugging in any value for x and then solving for y. For example: (Plugging in 3 for x) y=x+3 y=(3)+3 y=6 This forms the ordered pair (3,6).
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