Question

If y varies directly as x and x=6 when y=0.5, find y when x=10

Answer 1

y =
`(5)/(6)`

Explanation:

Given y varies directly as x, then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition x = 6 when y = 0.5 , then

0.5 = 6k ( divide both sides by 6 )

`(0.5)/(6)` = k , that is k =
`(1)/(12)`

y =
`(1)/(12)` x ← equation of variation

When x = 10, then

y =
`(1)/(12)` × 10 =
`(10)/(12)` =
`(5)/(6)`