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 ∝ 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

Number of apples (x)1471220
Cost of apples (y)8325696160


Discussion

No Comment Found