Question

If y varies inversely as x, and y = 3 when x = 6, find x when y = 18.
k = ______x = ______

Answer 1

k = 18, x = 1

Explanation:

Given that y varies inversely as x then the equation relating them is

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

To find k use the condition y = 3 when x = 6, thus

k = yx = 3 × 6 = 18

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

When y = 18, then

18 =
`(18)/(x)` ( multiply both sides by x )

18x = 18 ( divide both sides by 18 )

x = 1

Answer 2

k=1/2,x=9

Explanation:

hope it was helpful