Question

On a map of an amusement park, the Roller Coaster is located at exactly between Shawn(-12, 8) and the Ferris Wheel(-2, -16). If the Bumper Cars are located exactly between the Roller Coaster and Shawn, where is it located?

Answer 1

The Bumper Cars are located at the coordinates (-9.5, 2), which is exactly between Shawn's location and the midpoint of Shawn and the Ferris Wheel that represents the Roller Coaster's location.

Step-by-step explanation:

The student is asking to locate the Bumper Cars on a map given the coordinates of other attractions in an amusement park. To find the point exactly between Shawn (-12, 8) and the Roller Coaster, we need to use the midpoint formula. The Roller Coaster's location is exactly between Shawn (-12, 8) and the Ferris Wheel (-2, -16), so we first find the coordinates of the Roller Coaster by averaging the x and y coordinates of Shawn's and the Ferris Wheel's locations, resulting in the Roller Coaster's location being at (-7, -4). To find the Bumper Cars' location, which is exactly between Shawn and the Roller Coaster, we again average the x and y coordinates of Shawn's location and the Roller Coaster's location, resulting in the Bumper Cars' location at (-9.5, 2).