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 - Practice and Problem-Solving Exercises - Page 243: 6

Answer

The equation of the relationship between perimeter and number of sides added y=4x+6 The table and the graph of this relationship is in the screenshot below.
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Work Step by Step

The equation is y=4x+6 because assuming 1 hexagon has a perimeter of 6 and 2 hexagons has perimeter of 10 and 3 hexagons has perimeter of 14 which shows that the perimeter of the hexagon increases by 4 when you add the an additional hexagon. Thus we can deduce that when we don't add a hexagon, the perimeter is 6 and then as you add the number of shapes the perimeter increases by 4 . The graph is created using this relationship with perimeter as the y axis as it is affected by the number of shapes you add which is the x axis. The table states that when 0 shapes, the perimeter is 6 and then when 1 side is added, the perimeter is 10.
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