Question

Y varies inversely with x. y is 8 when x is 3 what is y when x is 6

Answer 1

y = 4

Explanation:

given 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 = 8 when x = 3

8 =
`(k)/(3)` ( multiply both sides by 3 )

24 = k

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

when x = 6 , then

y =
`(24)/(6)` = 4