Question

Fill the table:

Number of Apples	1	4	7	12	20
Cost of Apples (in rupees)	8

A.$32,56,96,160$ \[\]
B. $2, 56, 96,160$ \[\]
C. $32, 5, 96,160$\[\]
D. None of these \[\]

Answer 1

Hint: We see in the figure from the second column that we are given the price of 1 apple. We use the unitary method for direct variation and find the cost of 4,7,12 and 20 apples by multiplying the cost of 1 apple with 4,7,12 and 20 respectively. \[\]

Complete step by step answer:
We know that the table is made up of rows and columns. One single rectangle in the table is called a cell. We see in the given table that in the first row we are given the number of apples and in the second row we are given the cost of apples. We are also given the cost of 1 apple written at right below as 8 rupees. We are asked to fill the table where cells under 4,7,12 and 20 are empty. \[\]

So we have to fill the cells under 4,7,12 and 20 with costs of 4,7,12 and 20 apples respectively. \[\]

Since 1 apple costs 8 rupees, 4 apples will cost 4 times the cost of 1 apple that is $4\times 8=32$ rupees. \[\]

Similarly, 7 apples will cost 7 times the cost of 1 apple that is $7\times 8=56$ rupees. \[\]

12 apples will cost 12 times the cost of 1 apple that is $12\times 8=96$ rupees. \[\]

20 apples will cost 20 times the cost of 1 apple that is $20\times 8=160$ rupees. \[\]

 We fill up the empty cells in the given table.

Number of Apples	1	4	7	12	20
Cost of Apples (in rupees)	8	32	56	96	160

So the correct option is A. \[\]
Note:
We know that the unitary method with direct variation is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value. We were given the value of the single unit at the cost of 1 apple and this is why we directly multiplied. When one quantity says $A$ increases with another quantity $B$ we say $A$ varies directly with $B$. Here the cost of all apples increases with the number of apples and hence they are in direct variation.