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.

Charlie earns $40 per hour for a regular 32-hour work week. Sometimes, he works over 32 hours a week and earns "double time" for the extra hours worked. Create a piecewise linear function to represent the amount Charlie will earn in one week if he works hours. What is the appropriate domain for this function? How do you know this? Graph this function in an appropriate window on your paper, labeling axes and scale.