# In which of the following tables x and y vary directly?

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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

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(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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