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The Island Loop Ferry takes the same route multiple times a day. It starts at the port of Seabreeze Village and travels due south for 88 miles to the town of Oceanview. From there, it travels due east for 1515 miles to Portlandville. Finally, it makes a straight-line journey back to Seabreeze Village. If the ferry can travel 55 miles on a gallon of fuel, how many gallons does the ferry use to complete the route one time? If necessary, round your answer to the nearest tenth.\newline____ gallons

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Q. The Island Loop Ferry takes the same route multiple times a day. It starts at the port of Seabreeze Village and travels due south for 88 miles to the town of Oceanview. From there, it travels due east for 1515 miles to Portlandville. Finally, it makes a straight-line journey back to Seabreeze Village. If the ferry can travel 55 miles on a gallon of fuel, how many gallons does the ferry use to complete the route one time? If necessary, round your answer to the nearest tenth.\newline____ gallons
  1. Calculate Distance Oceanview Portlandville: Calculate the distance from Oceanview to Portlandville. It's given as 1515 miles.
  2. Calculate Distance Seabreeze Village Oceanview: Calculate the distance from Seabreeze Village to Oceanview. It's given as 88 miles.
  3. Use Pythagorean Theorem Portlandville Seabreeze Village: Use the Pythagorean theorem to find the distance from Portlandville back to Seabreeze Village. Let this distance be c. \newlinec2=82+152 c^2 = 8^2 + 15^2 \newlinec2=64+225 c^2 = 64 + 225 \newlinec2=289 c^2 = 289 \newlinec=289 c = \sqrt{289} \newlinec=17 miles c = 17 \text{ miles}
  4. Add Total Distance Traveled Ferry: Add up all the distances to find the total distance traveled by the ferry.\newlineTotal distance=8 miles+15 miles+17 miles \text{Total distance} = 8 \text{ miles} + 15 \text{ miles} + 17 \text{ miles} \newlineTotal distance=40 miles \text{Total distance} = 40 \text{ miles}
  5. Calculate Fuel Usage: Calculate the fuel usage based on the ferry's fuel efficiency.\newlineFuel efficiency=5 miles per gallon \text{Fuel efficiency} = 5 \text{ miles per gallon} \newlineFuel used=40 miles5 miles per gallon \text{Fuel used} = \frac{40 \text{ miles}}{5 \text{ miles per gallon}} \newlineFuel used=8 gallons \text{Fuel used} = 8 \text{ gallons}

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