Question

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

Answer 1

x = 55

Explanation:

given x varies inversely as x then the equation relating them is

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

to find k use the given condition x = 11 when y = 3

k = xy = 11 × 15 = 165

x =
`(165)/(y)` ← variation equation

when y = 3, then

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