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in Commercial Mathematics by (36.4k points)
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In which of the following tables x and y vary directly?

(i)

A 7 9 13 21 25
B 21 27 39 63 75

(ii)

A 10 20 30 40 46
B 5 10 15 20 23

(iii)

A 2 3 4 5 6
B 6 9 12 17 20

(iv)

A 12 22 32 42 52
B 13 23 33 43 33

1 Answer

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Best answer

(i) Directly proportional.

Explanation: In this table value of ‘b’ is thrice the value of ‘a’ in all the columns. Therefore ‘a’ and ‘b’ are directly proportional.

(ii) Directly proportional.

Explanation: In this table value of ‘b’ is half of the value of ‘a’ in all the the columns. Therefore ‘a’ and ‘b’ are directly proportional.

(iii) Not directly proportional.

Explanation: In this table value of ‘b’ is not thrice the value of ‘a’ in all the columns. Therefore ‘a’ and ‘b’ are not directly proportional.

(iv) Not directly proportional.

Explanation: In this table value of ‘b’ is not varying in the same ratio as the value of ‘a’ in all the columns. Therefore ‘a’ and ‘b’ are not directly proportional.

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