Concept:Parallel lines have equal gradients (slopes).Explanation:The given equations are p=5x+3 and p=wx+5.For a line written as p=mx+c, the coefficient of x is the gradient m.So, gradient of the first line is m1=5.Gradient of the second line is m2=w.Since the lines are parallel, their slopes are equal:m1=m25=wTherefore, w=5.Answer:w=5, which is option D.