Answer:
The value of m is 36.
Step-by-step explanation:
It is given that y varies directly as x. It means y is proportional to x.
[tex]y\propto x[/tex]
[tex]y=kx[/tex]
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.
[tex]24=k(12)[/tex]
Divide both sides by 12.
[tex]2=k[/tex]
The value of k is 2.
The relation between x and y is defined by the equation
[tex]y=2x[/tex]
Put x=18 in the above equation.
[tex]y=2(18)[/tex]
[tex]y=36[/tex]
Therefore the value of m is 36.
