the value of y varies directly with x, and y = 36 when x = 6. what is y when x = 2? y = ? remember: y = kx

Explanation:

Step1: Find the constant of variation k

Given $y = kx$, when $y = 36$ and $x = 6$, we substitute these values into the equation: $36=k\times6$. Solving for $k$, we get $k=\frac{36}{6}=6$.

Step2: Find y when x = 2

Now that $k = 6$ and $x = 2$, we use the equation $y=kx$. Substitute $k = 6$ and $x = 2$ into it, so $y=6\times2 = 12$.

Answer:

12