Density and Design Problems

Question 1

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.

Revolt · Accepted Answer

Tyler’s design would give the larger garden because the area would be 3,600 ft2.

Question 2

Which statements are true? Check all that apply.

Revolt · Accepted Answer

The population density for Montana can be found using the ratio 1,005,141:145,552.; The state with the smallest population density is Montana.

Question 3

Question 3

Revolt · Accepted Answer

8

Question 4

Question 4

Revolt · Accepted Answer

450

Question 5

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. How many rectangular containers will be necessary to package 6,400 candles? How many cylindrical containers will be necessary to package 6,400 candles? Which container should the company use to minimize costs? Explain.

Revolt · Accepted Answer

Selection 1: 143; Selection 2: 157; Selection 3: the rectangular containers, because it will cost the company $67 more to use the cylindrical containers

Density and Design Problems Answers

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