Final answer:
A map is the most appropriate graphic to provide directions to a suburban hotel for a luncheon, as it visually represents geographical locations and routes.
Step-by-step explanation:
The best type of graphic to convey the arrangement of a board of directors luncheon at a suburban hotel would be a map. A map provides clear visual directions and can indicate the specific location of the hotel, nearby landmarks, and the best routes to get there. Unlike flowcharts, organizational charts, or Gantt charts, a map specifically addresses the spatial component of navigating to a given destination, which is what is needed in this context.
An organizational chart is useful for understanding company structure, reporting lines, and the roles of different employees within an organization. It benefits new employees by serving as a visual representation of who does what, and who to approach for specific queries or approvals.
Graphical techniques, like the head-to-tail method mentioned, are valuable in representing quantities with direction, such as vectors in physics but do not provide the geographical orientation needed for navigating to a location, which reinforces the suitability of a map for the student's requirement.