What method do approach controllers use to guide aircraft onto the final approach path?

Answer: B — Issue headings, altitudes, and speeds

Approach controllers guide aircraft onto the final approach path primarily by issuing headings, altitudes, and speeds. This method allows controllers to ensure that aircraft are aligned with the runway and are descending at an appropriately controlled rate. By providing specific headings, controllers direct pilots to turn as necessary to intercept the final approach course. Setting altitudes helps manage the vertical separation of aircraft, ensuring they are at the correct altitude for safe and orderly landing procedures. Additionally, speed adjustments are crucial to manage the spacing between arriving aircraft, allowing for a smooth, safe landing sequence. The other methods listed, while important in different contexts of operation, do not directly focus on guiding aircraft onto the final approach path. Continuous weather updates provide valuable information but do not actively direct aircraft positioning. Assigning specific runway slots is more related to overall traffic management rather than direct guidance for final approach. Managing aircraft fuel consumption is a broader operational concern rather than a specific task performed by approach controllers in guiding aircraft during the landing phase. Thus, the correct choice succinctly captures the primary responsibilities of approach controllers in their role.