You are purchasing carpeting for an office building. The space to be carpeted is 30 feet by 50 feet. Company A charges $2.99 per square foot plus a $200 installation charge. Company B charges $19.99 per square yard plus a $500 installation charge. What is the best deal? Did you notice the word snuck in on this problem? Company B is given in square yards, not feet. Let's convert their price to square feet to match company A. Company B conversion: Since we have 1 square yard = 3 feet * 3 feet = 9 square feet, we need to solve the following proportion: $19.99/square yard * 1 square yard/9 feet = $19.99 square yard / 9 feet = $2.22 / square foot. Now, let's set up the cost equations C(s) for each Company in square feet (s) Company A: C(s) = 200 + 2.99s Company B: C(s) = 500 + 2.22s The problem asks for s = 30 feet * 50 feet = 1500 square feet. So we want to calculate C(1500) Company A: C(1500) = 200 + 2.99(1500) C(1500) = 200 + 4485 C(1500) = 4685 Company B: C(1500) = 500 + 2.22(1500) C(1500) = 500 + 3330 C(1500) = 3830 Since Company B has the lower cost per square foot, they are the better buy.