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 \(\propto\)

∴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

Number of apples (x)14712 20
Cost of apples (y)83256 96160


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