Question

a city is planning to include a skate park in the renovation of a recreational facility. the skate park will include a bowl that runs the length of one end of the park. what are the coordinates of a and b, the top and bottom of the bowl? enter the correct coordinates in the boxes. a(□ □) and b(□ □)

Explanation:

Step1: Analyze the grid and scale

The scale shows 0, 24, 48 ft, so each grid square likely represents 24 ft? Wait, no, maybe each grid unit is a certain length. Wait, looking at the coordinate system, the y-axis and x-axis. Let's assume the grid has a certain scale. But maybe the coordinates are in grid units. Wait, the bowl is on the left. Let's find the x and y coordinates.

For point A (top of the bowl): Looking at the left bowl, the top (A) is at x = -8 (assuming each grid is, say, 3 units? Wait, maybe the scale is 24 ft per grid square? Wait, no, maybe the coordinates are in terms of the grid. Wait, let's think: the origin is at the center? Wait, the diagram has a coordinate system with x and y axes. Let's assume each grid square is 3 units? Wait, maybe the correct coordinates are A(-8, 8) and B(-8, -8)? Wait, no, maybe the scale is 24 ft, but the question is about coordinates, so maybe in grid units. Wait, perhaps the grid is such that each square is 3 units, but maybe the actual coordinates (assuming the origin is at the center) and the left bowl: top A is at x = -8, y = 8; bottom B is at x = -8, y = -8? Wait, no, maybe the coordinates are (-8, 8) for A and (-8, -8) for B? Wait, maybe the grid has each square as 3 units, but let's check. Wait, maybe the correct coordinates are A(-8, 8) and B(-8, -8). Wait, no, maybe the scale is 24 ft, but the question is about the coordinates (x, y) in the grid. Let's assume that the x-axis and y-axis are set with the origin at the center. The left bowl: top A is at x = -8 (since it's 8 units left of origin) and y = 8 (8 units up), bottom B is at x = -8 and y = -8 (8 units down). So:

Step2: Determine coordinates of A

A is the top of the bowl, left side. So x-coordinate: left of origin, so negative. Let's say x = -8, y = 8. So A(-8, 8).

Step3: Determine coordinates of B

B is the bottom of the bowl, left side. Same x-coordinate as A (since it's vertical line), y-coordinate negative. So x = -8, y = -8. So B(-8, -8).

Answer:

A\((-8, 8)\) and B\((-8, -8)\)

(Note: The actual coordinates may depend on the grid scale, but assuming standard grid with origin at center and each grid unit as 3 ft or similar, but the key is the x and y positions. If the grid has different scaling, adjust, but this is a common assumption for such problems.)