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?

Answer 1

It is y= 8x As given, y varies directly as x and y is 48 when x is 6. So from the equation we can justify it. When x=6 y= 8(6) = 48 Now, if x=2 y = 8(2) y = 16

Answer 2

y is 16

Explanation:

If y varies directly as x, and y is 48 when x is 6, find the value of y when x is 2

When y varies directly as x then
`y=kx`

where k is the constant of proportionality

y is 48 when x is 6, plug in the value and find out k

`y=kx`

`48=k(6)`

Divide both sides by 6

`k=8`

The equation y=kx becomes

`y=8x`

find the value of y when x is 2

`y=8(2)= 16`

So the value of y is 16