For my Math Investigation, I plan on investigating optimizing traffic flow efficiency through finding an optimal speed limit to impose. Through your answer to my question on the relationship between traffic flow and speed limit: (Increased Speed, Increased Flow (Up to a Point): A higher speed limit allows vehicles to cover more distance per unit time, theoretically increasing the number of vehicles passing a point per hour (flow). Imagine a single-lane road with two cars, one going 20 mph and the other at 40 mph. The faster car covers double the distance, effectively "creating" more space for another car to enter the flow. 2. Increased Speed, Decreased Capacity (After a Point): However, this logic only holds true until a certain point. As speed increases, several factors contribute to decreased capacity: Merging and Lane Changing: Higher speeds make merging and lane changes more dangerous and difficult, leading to bottlenecks and slowing down overall flow. Reaction Time: