An open box is to be made from a flat square piece of material 19 inches in length and width by cutting equal squares of length x from the corners and folding up the sides. (a) write the volume v of the box as a function of x. leave it as a product of factors; you do not have to multiply out the factors.

Paula makes stained-glass windows and sells them to boutique stores. if her costs total $12,000 per year plus $4 per window for the frame. how many windows must she produce to earn a profit of at least $48,000 in one year if she sells the windows for $28 each? 1. define a variable for the situation. 2. write an inequality that represents her profit. note: revenue is money coming in. cost is money going out. profit is the difference between the revenue and the cost. in other words: revenue - costs profit 3.using words, describe how many windows she must sell to have a profit of at least $48,000.