Question

If x varies inversely as y, and x = 11 when y = 15, find x when y = 3.

11/5
55
33/15

Answer 1

x = 55

Explanation:

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

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

To find k use the condition x = 11 when y = 15

11=
`(k)/(15)` ( multiply both sides by 15 )

165 = k

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

When y = 3 , then

x =
`(165)/(3)` = 55