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In the given figure, let Y denote the number of steps and y denote its area. Find the relationship between x and y by tabulation. |
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Answer» Let x denote the number of steps and y denote the area. In the first shape let x = 1 and the area be 1 cm2 When x = 2 : Area = 22 = 4 cm2 When x = 3 : Area = 32 = 9 cm2 and so on. Tabulating the values of x and y
From the table: x = 1 ⇒ y = 12 x = 2 ⇒ y = 22 x = 4 ⇒ y = 42 x = 5 ⇒ y = 52 Hence the relationship between x and y is y = x2 |
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