Density and Design Problems Answers

A city’s bus line is used more as the urban population density increases. The more people in an area, the more likely bus lines will be utilized.The population of City A, in Texas, is 29,455 and covers an area of 19.42 mi2. The population of City B, in Alabama, is 34,890 and covers an area of 25.4 mi2.Which city’s residents are more likely to use public buses? Explain.

A shoe store owner is designing the layout of the displays in his store. The floor area for the store is 1,600 square feet. The owner wants to have circular displays for the shoes, each with a radius of 6 feet, and a 48-square-foot rectangular cashier’s station in the corner. Customers should be able to easily walk around the shoe displays, so there must be at least a 4-foot walkway around each. The owner started drawing the layout shown.The distance between grid lines is 4 feet.

The populations and areas of four states are shown.

High population density can cause increases in competition for resources, such as food and shelter. The table shows the number of zebras living in four different regions.

Crop yield is the ratio of the number of bushels harvested to the number of acres used for the harvest. This year, the harvest at a farm was 94,010 bushels of grain, resulting in a crop yield of 170 bushels per acre.To the nearest whole acre, how many acres were harvested?

Crop yield is the ratio of the number of bushels harvested to the number of acres used for the harvest. This year, a large farm harvested rice from 690 acres of farmland. The crop yield was 7,553 bushels per acre.Approximately how many bushels of rice were harvested?

A company needs to package 7,560 beads. A wooden container shaped like a rectangular prism can hold 180 beads. A plastic cylindrical container can hold 126 beads. The wooden container costs the company $0.70, while the plastic container costs $0.40.Which container should the company use to minimize cost? Explain.

A scientist has four petri dishes of different sizes. Each dish contains a different number of bacteria.

The table shows the number of resident geese living in four different ponds.

The population density of Peru one year was approximately 23 people per square kilometer. Brazil has a land area of approximately 8.5 million square kilometers.If Brazil had the same population density as Peru that year, approximately how many people were living in Brazil?