Question

It is given that varies directly as . when x+2 , y=16, find the value of when x=6 .

Answer 1

`y=48`

Explanation:

Question :

Given:

`y` varies directly with
`x`

when
`x=2, y=16`

To find value of
`y` when
`x=6`

Solution:

From the given data we have:

`y` ∝
`x`

Thus, we have:

`y=kx`

where
`k` is the constant of proportionality.

We can find the value of
`k` by plugging in the given values.

when
`x=2, y=16`

`16=k(2)`

Dividing both sides by 2.

`(16)/(2)=(k(2))/(2)`

`8=k`

∴
`k=8`

So, the equation to find
`y` when
`x=6` will be:

`y=8* 6=48`

Thus, when
`x=6, y=48` (Answer)