#### Question

Complete the following table considering that the cost of apples and their number are in direct variation.

Number of apples (x) | 1 | 4 | ... | 12 | ... |

Cost of apples (y) | 8 | 32 | 56 | ... | 160 |

#### Solution

It is given that the cost of apples (y) and number of apples (x) are in direct variation.

\[\therefore y \propto x \Rightarrow y = kx\]

where k is constant of variation

When x = 1, y = 8.

∴ 8 = k × 1

⇒ k = 8

So, the equation of variation is

y = 8x

When y = 56,

56 = 8x

⇒ x = 7

When x = 12,

y = 8 × 12 = 96

When y = 160,

160 = 8x

⇒ x = 20

The complete is given below.

Number of apples (x) | 1 | 4 | 7 |
12 | 20 |

Cost of apples (y) | 8 | 32 | 56 | 96 |
160 |

Is there an error in this question or solution?

Solution Complete the Following Table Considering that the Cost of Apples and Their Number Are in Direct Variation. Concept: Direct Variation.