Both x and y vary directly with each other

Question:
Both x and y vary directly with each other and when x is 10, y is 14, which of the following is not a possible pair of corresponding values of x and y?

(a) 25 and 35

(b) 35 and 25

(c) 35 and 49

(d) 15 and 21

Solution:

(b) 35 and 25

Explanation: x and y are directly proportional.

x ∝ y

If x = 10 and y = 14, then;

10 ∝ 14 or 5 ∝ 7

Now, if we compare,

(a) 25 ∝ 35 = 5∝7

(b) 35 ∝ 25 = 7 ∝ 5

(d) 15 ∝ 21 = 5 ∝ 7

Therefore, option (b) is not a possible pair of corresponding values of x and y.

In questions 17 to 42, fill in the blanks to make the statements true:

Both x and y vary directly with each other

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