When x, y, w and z are vectors in R n such that y, z are linearly independent and z = 3x + 4y, w = 6x − 4y − 2z , which of the following I: Span{x, y} = Span{x, w, z} , II: Span{x, z} = Span{y, w} , III: Span{y} = Span{w} , hold?

Barney & noblet customers can choose to purchase a membership for $25 per year members receive 10% off all store purchases 1. how much would a member pay per year if he bought $50 worth of items each year? 2. write a slope-intercept equation that expresses how much a member pays per year using x to represent his purchases per year 3. how much would a member have to spend per year to pay off his membership fee?