Density and Design Problems Answers

Tyler and Bethany have 240 feet of fencing with which to build a garden. Tyler wants the garden to be in the shape of a square, while Bethany wants it to be rectangular with a length of 50 feet and a width of 70 feet. Which design would give the maximum area for the garden? Explain.

4180143✔ 157

246✔ 8

112.5225337.5✔ 450

A rectangular container can hold 45 candles, while a cylindrical container holds 41 candles. Each rectangular container costs the company $16, while the cylindrical container costs the company $15. If the company needs to package 6,400 candles, should it use only rectangular or only cylindrical containers to minimize costs? Explain.

✔ the rectangular containers, because it will cost the company $67 more to use the cylindrical containersthe cylindrical containers, because it will cost the company $67 more to use the rectangular containersthe rectangular containers, because it will cost the company $48 more to use the cylindrical containersthe cylindrical containers, because it will cost the company $48 more to use the rectangular containers

275545✔ 858958

3448✔ 68112

34✔ 5262118

Which statements are true? Check all that apply.

The population density of New Jersey is about 1,195 people per square mile. Texas has a land area of 261,797 square miles. If Texas had the same population density as New Jersey, how many people would be living in that state?

The irrigation design for a new backyard is shown with six sprinkler heads and two walkways. Which statement is true of this design?

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 Belmont, MA, is 24,729 and covers an area of 4.66 mi2. The population of Easton, MA, is 23,112 and covers an area of 28.4 mi2. Which city’s residents are more likely to use public buses? Explain.

A rectangular container can hold 45 candles, while a cylindrical container holds 41 candles. Each rectangular container costs the company $16, while the cylindrical container costs the company $15. If the company needs to package 6,400 candles, should it use only rectangular or only cylindrical containers to minimize costs? Explain.