Question

Suppose y varies inversely with x, and y = 3 when x = 1/3. What is the inverse variation equation that relates x and y ?

Answer 1

Good the answer is going to be 1/3x3y

Answer 2

y =
`(1)/(x)`

Explanation:

Given that y varies inversely with 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 =
`(1)/(3)` , then

3 =
`(k)/((1)/(3) )` ( multiply both sides by
`(1)/(3)` )

3 ×
`(1)/(3)` = k

1 = k

y =
`(1)/(x)` ← equation of variation