In which of the following tables x and y vary inversely: x 4 3 12 1 y 6 8 2 24

Given, x 4 3 12 1 y 6 8 2 24 We know that, if x y = Constant for every condition, then x and y are said to be in inverse variation. x 1 y 1 = 4 × 6 = 24 x 2 y 2 = 3 × 8 = 24 x 3 y 3 = 12 × 2 = 24 x 4 y 4 = 1 × 24 = 24 Here, x y = Constant for every condition. Hence, x and y vary inversely.

In which of the following tables x and y vary inversely: x 5 20 10 4 y 20 5 10 25

Given, x 5 20 10 4 y 20 5 10 25 If x y = Constant for every condition, then x and y are said to be in inverse variation. x 1 y 1 = 5 × 20 = 100 x 2 y 2 = 20 × 5 = 100 x 3 y 3 = 10 × 10 = 100 x 4 y 4 = 4 × 25 = 100 Here, x y = Constant for every condition, hence x and y vary inversely.

In which of the following tables x and y vary inversely: x 4 3 6 1 y 9 12 8 36

Given, x 4 3 6 1 y 9 12 8 36 If x y = Constant for every condition, then x and y are said to be in inverse variation. x 1 y 1 = 4 × 9 = 36 x 2 y 2 = 3 × 12 = 36 x 3 y 3 = 6 × 8 = 48 x 4 y 4 = 1 × 36 = 36 Here, x and y does not vary inversely because x y is not constant for every condition

In which of the following tables x and y vary inversely: x 9 24 15 3 y 8 3 4 25

Given, x 9 24 15 3 y 8 3 4 25 If x y = Constant for every condition, then x and y are said to be in inverse variation. x 1 y 1 = 9 × 8 = 72 x 2 y 2 = 24 × 3 = 72 x 3 y 3 = 15 × 4 = 60 x 4 y 4 = 3 × 25 = 75 Here, x and y does not vary inversely because x y is not constant for every condition.

If x and y vary inversely, fill in the following blanks: x 12 16 … 8 … y … 6 4 … 0.25

Given, x 12 16 … 8 … y … 6 4 … 0.25 We know that, if x and y vary inversely, so x y = Constant x 2 y 2 = 16 × 6 = 96 x 1 y 1 = 96 ⟹ 12 y 1 = 96 ⟹ y 1 = 96 12 ⟹ y 1 = 8 x 3 y 3 = 96 ⟹ x 3 4 = 96 ⟹ x 3 = 96 4 ⟹ x 3 = 24 x 4 y 4 = 96 ⟹ 8 y 4 = 96 ⟹ y 4 = 96 8 ⟹ y 4 = 12 x 5 y 5 = 96 ⟹ x 5 0.25 = 96 ⟹ x 5 = 96 0.25 ⟹ x 5 = 9600 25 ⟹ x 5 = 384 Hence, the required answers are 8 , 24 , 12 and 384 .

If x and y vary inversely, fill in the following blanks: x 16 32 8 128 y 4 . . . . . . 0.25

Inversely Proportional means when one value decreases at the same rate that the other increases. Given that x and y vary inversely, so x y = constant Let the given entries of x and y be denoted by x i , y i where i = 1 , 2 , 3 . x 1 y 1 = 16 × 4 = 64 x 2 y 2 = 64 ⟹ 32 y 2 = 64 ⟹ y 2 = 64 32 ⟹ y 2 = 2 x 3 y 3 = 64 ⟹ 8 y 3 = 64 ⟹ y 3 = 64 8 ⟹ y 3 = 8

If x and y vary inversely, fill in the following blanks: x 9 … 81 243 y 27 9 . . . 1

Inversely Proportional means when one value decreases at the same rate that the other increases. Given that x and y vary inversely, so x y = constant Let the given entries of x and y be denoted by x i , y i where i = 1 , 2 , 3 , 4 . x 1 y 1 = 9 × 27 = 243 ; x 4 y 4 = 243 × 1 = 243 x 2 y 2 = 243 ⟹ x 2 9 = 243 ⟹ x 2 243 9 ⟹ x 2 = 27 x 3 y 3 = 243 ⟹ 81 y 3 = 243 ⟹ y 3 = 243 81 ⟹ y 3 = 3 x 9 27 81 243 y 27 9 3 1