Question

If x and y vary inversely, then complete the following table :
3
8
24
18
12

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Answer 1

Answer:

answer for the given problem is given

Answer 2

Answer:

Step-by-step explanation:

Explanation:

Given , x and y vary inversely

So,   $x\propto \frac{1}{y}$ ⇒ $xy= k$   ( where k is a constant)

∴ 3 ×24 = k ⇒72 = k

( from the given table in first coloumn value of x =3 and y = 24)

So , k = 72

∴ xy = 72 ...............(i)

Step 1:

When y = 18  in equation (i)

∴ x ×18 = 72 ⇒ x = 72/18 = 4

so , x = 4.

Step 2:

when x = 8

∴ 8 × y = 72   ⇒ y = 72/8= 9

So, y = 9.

Step 3:

when, y = 12

∴  x × 12 = 72  ⇒ x = 72/12 = 6

So, x = 6.

Final answer:

Hence ,   4, 9 and 6 are the missing value of given table .