Question

It x and y vary inversely, fill in the following blanks:

(i)

X	12	16	.......	8	.........
Y	.......	6	4	..........	0.25

(ii)

X	16	32	8	128
Y	4	.........	.........	0.25

(iii)

X	9	..........	81	243
Y	27	9	...........	1

Answer 1

(i)

X	12	16	24	8	324
Y	8	6	4	12	0.25

12 X p = 16 X 6

p = \(\frac{16\times 6}{12}\) = 8

6 x 16 = q x 4

p = \(\frac{16\times 6}{4}\) = 24

4 x 24 = q x 8

q = \(\frac{24\times 4}{8}\) = 12

(ii)

X	16	32	8	128
Y	4	2	8	0.25

16 x 4 = x₁ x 32

2 = x₁

32 x 2 = x₂ x 8

4 = x₂

(iii)

X	9	27	81	243
Y	27	9	3	1

 9 x 27 = x₁ x 9

27 = x₁

9 x 27 = x₂ x 81

3 = x₂