Christina, a frequent business traveler, is considering signing up for a hotel rewards program. Hotel Elegance is currently offering 790 points for signing up, plus 93 points for every night Christina books at the hotel. Alternatively, Hotel Paradiso is offering a sign-up bonus of 932 points, plus 22 points per night. If Christina books a certain number of nights, the points she earns with either hotel will be the same. How many nights will that be? How many points will she have?

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.