A county wants to build one centrally-located processing facility to serve the county's four recycling drop-off locations.The four drop-offs have characteristics as given in the table below.What is the approximate centre of gravity of these four locations?
A)4.75,6.04
B)17,24
C)33.5,135.4
D)6,4.25
E)570,725

Question

A county wants to build one centrally-located processing facility to serve the county's four recycling drop-off locations.The four drop-offs have characteristics as given in the table below.What is the approximate centre of gravity of these four locations? 
A)4.75,6.04 
B)17,24 
C)33.5,135.4 
D)6,4.25 
E)570,725

Quizplus · Accepted Answer

To find the center of gravity, we need to multiply the x and y coordinates of each point by their respective weight (traffic per week) and then divide the sum of these values by the total weight.

For example, for point A (1,3), the x coordinate weighted value would be 1*120 = 120 and the y coordinate weighted value would be 3*80 = 240.

After calculating these values for all four points and summing them up, we get a total weighted x-coordinate value of 2260 and a total weighted y-coordinate value of 12620.

Dividing these values by the total weight (480), we get an approximate center of gravity at (4.71, 6.04). Therefore, the closest answer choice is A) 4.75, 6.04.

A County Wants to Build One Centrally-Located Processing Facility to Serve