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    				| 1. | Complete the following table considering that the cost of apples and their number are in direct variation.Number of apples (x)14 -12 -Cost of apples (y)83256 -160 | ||||||||||||
| Answer» The cost of apples (y) and their number (x) are in direct variation. ∴y \(\propto\) x ∴y = kx …(i) where k is the constant of variation i. When, x = 1, y = 8 ∴ Substituting, x = 1 and y = 8 in (i), we get y = kx ∴ 8 = k × 1 ∴ k = 8 Substituting k = 8 in (i), we get y = kx ∴ y = 8x …(ii) This the equation of variation ii. When, y = 56, x = ? ∴ Substituting y = 56 in (ii), we get y = 8x ∴ 56 = 8x ∴ x = 56/8 ∴ x = 7 iii. When, x = 12, y = ? ∴ Substituting x = 12 in (ii), we get y = 8x ∴ y = 8 × 12 ∴ y = 96 iv. When, y = 160, x = ? ∴ Substituting y = 160 in (ii), we get y = 8x ∴ 160 = 8x ∴ x = 160/8 ∴ x = 20 
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