Question

If y varies inversely as x
and x = 4 when y = 15, find y when x=6

Answer 1

y = 10

Explanation:

Given 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 x = 4 when y = 15 , then

15 =
`(k)/(4)` ( multiply both sides by 4 )

60 = k

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

When x = 6 , then

y =
`(60)/(6)` = 10