Consider the following problem. mike and tim are looking to earn a little extra money. the beach committee offers them the opportunity off picking up plastic bottles, paying them $0.20 per bottle. mike realizes as they pick up it will get harder and harder to find more bottles. so as an incentive to keep looking he suggests a different form of payment. he suggests $0.10 for the first bottle, and increase the pay by 2% for each bottle after that. tim thinks mike is crazy to propose an increase of just 2% per piece. he plans to ask for a one-cent increase for every piece, starting at 15 cents for the first bottle. suppose the committee accepts each offer.