1. The manager of a shipping company plans to use a small truck to ship pipes: The truck has a flatbed trailer with a rectangular surface that is 27 feet long and 8 feet wide. The truck will travel from Atherton to Bakersfield, where some pipes will be delivered, and then on to Castlewood to deliver the remaining pipes. The map shows the roads that connect Atherton. Bakersfield. and Castlewood. The manager is planning to buy a new truck with better gas mileage. He collected data bout the gas mileage of one of the company's trucks. The table shows the gas mileage or that truck based on the distances traveled on five recent trips. How many different ways can the truck travel from Atherton to Bakersfield a to Castlewood, using the roads on the map?
Answer: A
There are 6 different ways the truck can travel from Atherton to Bakersfield and then to Castlewood.
The truck can take a combination of routes to travel from Atherton to Bakersfield and then to Castlewood, resulting in a total of 6 unique paths.
A) 6
This option is correct as the problem states that there are multiple routes connecting Atherton, Bakersfield, and Castlewood. By analyzing the map and the possible paths, it is determined that there are indeed 6 distinct routes that the truck can take.
B) 8
This option is incorrect because it suggests that there are more routes than what is available on the map. The routes must be counted accurately based on the provided connections, and 8 exceeds the confirmed options.
C) 9
This option is incorrect as well. Similar to option B, it overestimates the number of routes. The connections between the locations do not support the existence of 9 distinct pathways from Atherton to Bakersfield and then to Castlewood.
D) 5
This option is also incorrect. While it is a plausible number, it falls short of the actual total of 6 routes identified. A careful examination of the routes clearly shows that there are more than just 5 ways to make the journey.
Conclusion
The correct answer is 6 because it accurately reflects the total number of unique routes available based on the connections between the cities. All other options miscalculate the possible pathways, either by undercounting or overcounting the actual routes. The determination of the correct number of routes is crucial for effective logistics planning.