Density and Design Problems Answers

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1
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Which statements are true? Check all that apply.

A
The population density for Montana can be found using the ratio 1,005,141:145,552.
B
The population density for Oregon can be found using the ratio 95,997:3,899,353.
C
The population density for Hawaii is greater than the population density for Florida.
D
The state with the smallest population density is Oregon.
E
The state with the smallest population density is Montana.
2
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112.5225337.5✔ 450

A
112.5
B
225
C
337.5
D
✔ 450
3

✔ 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

A
✔ the rectangular containers, because it will cost the company $67 more to use the cylindrical containers
B
the cylindrical containers, because it will cost the company $67 more to use the rectangular containers
C
the rectangular containers, because it will cost the company $48 more to use the cylindrical containers
D
the cylindrical containers, because it will cost the company $48 more to use the rectangular containers
118543

275545✔ 858958

A
275
B
545
C
✔ 858
D
958
118544

3448✔ 68112

A
34
B
48
C
✔ 68
D
112
118545

34✔ 5262118

A
34
B
✔ 52
C
62
D
118
118546

246✔ 8

A
2
B
4
C
6
D
✔ 8
118548

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

A
The area covered by each sprinkler head is approximately 113.10 ft2.
B
The area covered by all the sprinkler heads together is approximately 169.64 ft2.
C
Every square foot of the yard will be watered with this design.
D
The sprinklers would cover more area if they were in a straight line.
118551

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
The residents of Belmont are more likely to use public transportation because the city has the highest population density.
B
The residents of Easton are more likely to use public transportation because the city has the highest population density.
C
The residents of both cities will not use the bus line because the population density is too high.
D
The residents of both cities are equally likely to use public transportation because the population densities are equal.
118552

4180143✔ 157

A
41
B
80
C
143
D
✔ 157

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