There are 40 students playing dodge ball in a high school gym that is 100 feet long by 60 feet wide. There are 12,000 balls available in the gym to throw. What is the population density of the balls in the gym (balls per square foot)?

Mathematics · Middle School · Thu Feb 04 2021

Answered on

Given:

There are 40 students playing dodge ball in a high school gym that is 100 feet long by 60 feet wide. There are 12,000 balls available in the gym to throw.

Determine the population density of the balls in the gym ( balls per square foot)

Solution:

In order to determine the population density, we simply need to find first the area of the gym by multiplying 100 with 60.

Area = (60ft)(100 ft)

Area = 600 ft^2

Divide the total number of balls by the area to find the density.

Density = 12,000 / 600 ft^2

Density = 20 balls/ft^2

Final answer:

Density = 20 balls/ft^2