planning a City O N A C O O R D I N A T E. G R I D You have established a city that is just beginning to grow. You will need to put a plan into place so your city will grow successfully and efficiently. Decide on a name for your city: ____________________________________ Part A: Locate the following landmarks on a coordinate plane. (If you are creating your own, usegraph paper, and draw the origin in the middle. The grid should extend 20 units in all directions.) Each unit on your paper will represent 0.1 of a mile. As you add features to your city throughout the activity, be sure to mark and label each one on your grid. Some landmarks are established in your city and would be very difficult to relocate. Locate and placethese landmarks on your grid with a dot and label: • Courthouse (-2, 11) • Electric Company (-7, -4) • School (0, 7) • Historic Mansion (-14, 4) • Post Office (4, -5) • A river runs through your city following the equation y= 2x − 5. • The main highway runs through your city following the equation 4x + 3y = 12 • The only other paved road (1st Street) currently runs from the courthouse to the electric company. Your city would like to attract tourists, so you will need a tourist center at the point where the main highway and 1st Street intersect. Where will the tourist center be located? __(3,8)_______ Part B: Plan 4 new roads to run parallel to 1st Street. You should pick the locations thoughtfully, planning for where you think you will have traffic. Write the equations for these roads. Street name Equation Part C: Now establish 5 additional roads to run perpendicular to 1st Street. Street name Equation Part D: Will you need any bridges on these new streets? What coordinates will require bridges? Part E: The fire station should be located at the midpoint between the tourist center and the electric company. Show the calculations to find its location. Label it on the grid. (-5, 2) A park is located at the midpoint between the school and the historic mansion. Show the calculations to find its location. Label it on the grid. (-7, 5.5) Part F: The zoo is located between the post office and school, but not at the midpoint. The ratio of its distance from the post office to the distance from the school is 1:3. Show the calculations to find its location. Label it on the grid. (3, -2) Part G: The following retail locations have submitted applications to build stores in your city. Choose 4 of the following to locate in your city. Pick a location for each one at the intersection of 2 streets. Home Improvement Store Clothing Store Grocery Pharmacy Gas Station Electronics Store Convenience Market Cell Phone Retailer Organic Grocery Bakery Wholesale Club Store Discount Clothing Store Toy Store Art Gallery Donut Shop R e t a i l e r c o o r d i n a t e s 2 restaurants will also locate in your city. What are the restaurants and where are they?