Question

X and y vary inversely. Complete the following table show your steps

Answer 1

see explanation

Explanation:

Since x and y vary inversely then the equation relating them is

y =
`(k)/(x)` ← k is the constant of variation

To find k use the condion x = 10 when y = 12

k = yx = 12 × 10 = 120

y =
`(120)/(x)` ← equation of variation

Complete the table using this formula

when x = 8 then y =
`(120)/(8)` = 15

when x = 20 then y =
`(120)/(20)` = 6

when y = 30, then

30 =
`(120)/(x)`

Multiply both sides by x

30x = 120 ( divide both sides by 30 )

x = 4

The completed table is

x | 10, 5, 8, 4, 20

y | 12, 24, 15, 30, 6