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.
\(y\propto x\)
\(y=kx\)
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.
