Given the equations y is proportional to x², y=3 when x=0.5, and x is inversely proportional to w, we can find the value of y when w=2.When x=0.5, y=3Thus, 3 = k * (0.5)²k = 24Now, x = k / w0.5 = 24 / ww = 48Finally, when w=2, x = 24 / 2 = 12y = k * x² = 24 * (12)² = 3456