Population density is a measure of how many people live within a given area. Locations of new schools are decided using geometric models based on population density. How can these models help officials draw new attendance boundaries when the schools are built? 1. Due to population growth in the town of Euclid, enrollment at Euclid High School has reached 2000 students, 800 students over its capacity. To account for overflow, the town is building Pythagoras High School. Both Euclid High School and Pythagoras High School have a maximum capacity of 1200 students. Before creating new attendance boundaries, the school board must analyze the population densities of high school students in Euclid neighborhoods. On the map shown, the grid lines are roads and each unit square represents one square mile. Use the map of Euclid to complete the table. Round your answers to the nearest tenth, if necessary. Newton Ave. Pythagoras HS Euclid HS 1.4 Main St. The school board must create new attendance boundaries for the schools using the following constraints: The maximum capacity for each school is 1200 students. Students who live within a mile of their assigned school must walk to school Distance from the neighborhood to the school is measured from the main bus stop, which is marked with a star, at the entrance of each neighborhood. Mileage for calculating bus routes is rounded to the nearest mile Buses must enter school property from Newton Avenue or Main Street (For example, students in the Fieldstone Apartments are picked up at their bus stop, drive directly west for 1.5 miles, north on Newton Avenue for 1 mile, and east for 1 mile to the school. The distance from Fieldstone Apartments to Euclid HS for a bus route is 3.5 miles) . The maximum student load for a bus is 90 students. Buses do not have to run at full capacity and can load at more than one neighborhood. Desired boundaries keep neighborhoods attending the same school. If a neighborhood is divided between schools, it should be halved. The following concerns have been voiced at public forums Parents at Heritage Apartments worry about the safety of their students walking to the new high school. Pythagoras High School is less than a mile across Main Street, so their students would have to walk across the busiest street in Euclid twice a day to attend school Parents at Newton Place do not want their neighborhood split between the new and the old high school. Parents of the Historic District claim that their neighborhood was the first neighborhood to attend Euclid High School, and they should remain there because of longstanding tradition 4. Suggest how would you draw attendance boundaries to minimize transportation costs, keep both schools under their capacity enrollment, and address public concerns. 5. Describe the bus routes being defined given your attendance boundaries. Level (7-8) 6-Explain how you came up with your plans for boundaries and bus routes 7-Discuss the compromises you had to make