Directions: Show all work, and answer each question that is asked. Explanations should be given in complete sentences. All graphs should be drawn accurately on this sheet, and be fully labeled.

An online wholesaler sells novelty hats in bulk. The purple and leopard print hat sells for $18.50 each when you buy less than 45 hats. For orders of 45 or more, the price is $16.50 per hat. Express the total cost of the order as a function of the number of hats ordered, and graph this function in an appropriate window on your paper. If your group has a budget of $760 for hats, how many hats can you purchase?