Algebra 1

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

Chapter 4 - An Introduction to Functions - 4-1 Using Graphs to Relate Two Quantities - Practice and Problem-Solving Exercises: 18

Answer

If one more octagon was added, the perimeter would be 29. The screenshot below shows the relationship between the perimeter and the number of octagons added.
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Work Step by Step

The perimeter could be founded using the function P(n)=7(n)+8 , where n represents the number of octagons added to 1 octagon as when we only have 1 octagon and 0 octagons is added, the P(0)=7(0)+8 = 8. Therefore, when two octagons are added the perimeter for 3 octagons is P(2)=7(2)+8=22. Thus if one more pentagon is added to make 4 octagons the perimeter would be P(3)=7(3)+8=21+8=29.
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