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Complete the Following Table Considering that the Cost of Apples and Their Number Are in Direct Variation. - SSC (English Medium) Class 8 - Mathematics

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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?

APPEARS IN

 Balbharati Solution for Balbharati Class 8 Mathematics (2019 to Current)
Chapter 7: Variation
Practice Set 7.1 | Q: 2 | Page no. 36
Solution Complete the Following Table Considering that the Cost of Apples and Their Number Are in Direct Variation. Concept: Direct Variation.
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