a. Campus Cut-Across Problem: Juana makes daily trips from the math building to the

Chapter 10, Problem R4

(choose chapter or problem)

a. Campus Cut-Across Problem: Juana makes daily trips from the math building to the English building. She has three possible routes (Figure 10-7a): Along the sidewalk all the way Straight across the grass Angle across to the other sidewalk Figure 10-7a She figures her speed is 6.2 ft/s on the sidewalk and 5.7 ft/s across the grass. Which route takes the least time? Explain. b. Resort Island Causeway Problem: Moe Tell owns a resort on the beach. He purchases an island 6 km offshore, 10 km down the beach (Figure 10-7b). So that his guests may drive to the island, he plans to build a causeway from the island to the beach, connecting to a road along the beach to the hotel. The road will cost $5,000 per kilometer, and thebridge will cost $13,000 per kilometer. Whatis the minimum cost for the road andcauseway system? How much money issaved by using the optimum path over whatit would cost to build a causeway from thehotel straight to the island?Figure 10-7b