[b]1. 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[/img]
[b]a. [/b]How many 1-foot-square border tiles do you need to surround a pool that is 10 feet long and 5 feet wide?
[b]b. [/b]Write an expression for the number of border tiles needed to surround a pool that is L feet long and W feet wide. [b][color=#ff0000]Use the math editor.[/color][/b]
[b]c.[/b] Write a different but equivalent expression for the number of tiles needed in part (b). [b][color=#ff0000]Use the math editor.[/color][/b][br]
[b]d. [/b]Explain why your expressions are equivalent.[br]
[b]2. [/b]A square hot tub has sides of length s feet. A tiler makes a border by placing 1-foot-square tiles along the edges of the tub and triangular tiles at the corners, as shown. The tiler makes the triangular tiles by cutting the square tiles in half along a diagonal.[br][center][img]data:image/png;base64,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[/img][/center]
[b]a.[/b] Suppose the hot tub has sides of length 7 feet. How many square tiles does the tiler need for the border?
[b]b.[/b] Write an expression for the number of square tiles N needed to build this border for a square tub with sides of length s feet. [b][color=#ff0000]Use the math editor.[/color][/b]
[b]c. [/b] Write a different but equivalent expression for the number of tiles N. Explain why your expressions are equivalent. [b][color=#ff0000]Use the math editor.[/color][/b]
[b]d.[/b] Is the relationship between the number of tiles and side length linear or nonlinear? [br]
You can test for linearity by filling out the table below, and finding the rate of change. The first two rows are given.[br][center][img]data:image/png;base64,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[/img][/center]