Question

The table below shows a direct variation. What is the value of m? x y 12 24 18 m 24 48

Answer 1

the answer is 36, because there is a pattern. Notice how the value of y is double the value of x 

Answer 2

The value of m is 36.

Explanation:

It is given that y varies directly as x. It means y is proportional to x.

`y\propto x`

`y=kx`

Where k is constant of proportionality.

It is given that y=24 when x=12. Put x=12 and y=24 in the above equation to find the value of k.

`24=k(12)`

Divide both sides by 12.

`2=k`

The value of k is 2.

The relation between x and y is defined by the equation

`y=2x`

Put x=18 in the above equation.

`y=2(18)`

`y=36`

Therefore the value of m is 36.