Question

If y varies directly as x, and y is 48 when x is 6, which expression can be used to find the value of y when x is 2? y = StartFraction 48 Over 6 EndFraction (2)

Answer 1

The expression that can be used to find the value of
`y` when
`x` is 2 is
`y = 8\cdot x`

(
`x = 2`)

`y = 8\cdot (2)`

`y = 16`

Explanation:

As we know that
`y` varies directly as
`x`. The following expression is done:

`y \propto x`

`y = k\cdot x`

Where
`k` is the proportionality constant.

If we know that
`x = 6` and
`y = 48`, the proportionality constant is:

`k = (y)/(x)`

`k = (48)/(6)`

`k = 8`

The expression that can be used to find the value of
`y` when
`x` is 2 is
`y = 8\cdot x`

(
`x = 2`)

`y = 8\cdot (2)`

`y = 16`