the value of y varies directly with x, and y = 36 when x = 3. what is y when x = 4? y = ? remember: y = kx

Explanation:

Step1: Find the constant of proportionality (k)

Given (y = kx), when (y = 36) and (x = 3). Substitute into the equation: (36=k\times3). Solve for (k): (k=\frac{36}{3}=12).

Step2: Find (y) when (x = 4)

Now that (k = 12) and (x = 4), use the equation (y=kx). Substitute (k = 12) and (x = 4) into it: (y=12\times4 = 48).

Answer:

(48)