Refer to the exhibit. All routers are configured to use the EIGRP routing protocol with default settings, all routes are advertised on all routers, and the network is fully converged. Which path will the data take to travel between 172.16.1.0/24 and 192.168.100.0/24?

EIGRP uses a composite metric based on bandwidth and delay (by default) to select the best path. The exhibit must show that the path A-F-E-D-C has the lowest composite metric among all available paths between the two networks. Option D (load-balancing) would require equal-cost paths, which the exhibit apparently doesn't show. EIGRP does not consider the number of hops in its metric calculation, so a longer path with better bandwidth/delay characteristics will be preferred over a shorter but slower path.