Percy wants to write an equation for the number of tiles needed to surround a square pool with sides of length s feet. He makes a table for pools with sides of length 1, 2, 3, 4, and 5 feet. Then he uses the patterns in his table to write the equation N= 8 + 4(s – 1). Border Tiles Side Length 1 2 3 4 5 Number of Tiles 8 12 16 20 | 24 a. What patterns does Percy see in his table?
Percy wants to write an equation for the number of tiles needed to surround a square pool with sides of length s feet. He makes a table for pools with sides of length 1, 2, 3, 4, and 5 feet. Then he uses the patterns in his table to write the equation N= 8 + 4(s – 1). Border Tiles Side Length 1 2 3 4 5 Number of Tiles 8 12 16 20 | 24 a. What patterns does Percy see in his table?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:27. Percy wants to write an equation for the number of tiles needed to
surround a square pool with sides of length s feet. He makes a table
for pools with sides of length 1, 2, 3, 4, and 5 feet. Then he uses the
patterns in his table to write the equation N= 8+ 4(s – 1).
Border Tiles
Side Length
1
2
3
4
Number of Tiles
8.
12
16
24
a. What patterns does Percy see in his table?
b. Is Percy's expression for the number of tiles equivalent to 4(s + 1),
Stella's expression in Problem 1.2? Explain.
20
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