the value of y varies directly with x, and y = 18 when x = 6. what is y when x = 2? y = ? remember: y = kx

Explanation:

Step1: Find the constant of proportionality ( k )

Since ( y = kx ), when ( y = 18 ) and ( x = 6 ), we substitute into the equation: ( 18=k\times6 ). Solving for ( k ), we get ( k=\frac{18}{6}=3 ).

Step2: Calculate ( y ) when ( x = 2 )

Now that ( k = 3 ), and using the equation ( y=kx ), substitute ( x = 2 ). So ( y=3\times2 = 6 ).

Answer:

( 6 )