Educational worksheet featuring a population density map of the U.S. focusing on Massachusetts, with questions to analyze data and understand population distribution.

Problem Analysis:

The task involves analyzing a population density map of Massachusetts and answering questions based on the information provided. The map uses color coding to represent population density, with darker shades indicating higher densities.

#### Key Points from the Map:
1. Color Coding:
- Dark red: Over 1,000 people per square mile.
- Red: 500–999 people per square mile.
- Orange: 200–499 people per square mile.
- Yellow: 100–199 people per square mile.
- Light yellow: Under 100 people per square mile.

2. Regions:
- Suffolk County (Boston area) is shown in dark red, indicating high population density.
- Other areas like Berkshire County are lighter in color, indicating lower density.

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Solution to Each Question:

#### 1. What are the most densely populated counties in Massachusetts?
- Analysis: The darkest shade on the map represents the highest population density (over 1,000 people per square mile). Suffolk County, which includes Boston, is shaded in dark red.
- Answer: The most densely populated county in Massachusetts is Suffolk County.

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#### 2. In what counties would you be least likely to find cities?
- Analysis: Cities typically have high population densities. The lightest shades on the map (under 100 people per square mile) indicate low population density, which is less likely to include large cities.
- Answer: Counties with the lightest shades (e.g., Berkshire County, parts of Franklin County, and Hampshire County) would be least likely to have cities.

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#### 3. Why do you think the counties near Suffolk County are also densely populated?
- Analysis: Suffolk County includes Boston, a major urban center. Urban areas tend to attract high populations due to job opportunities, infrastructure, and services. Surrounding counties may benefit from proximity to Boston, leading to higher population densities.
- Answer: The counties near Suffolk County are densely populated because they are close to Boston, which is a major urban center. Proximity to Boston provides access to jobs, transportation, and other amenities, attracting more residents.

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#### 4. The town of Andover has a population density of 1,007.8. What counties could it be in?
- Analysis: A population density of 1,007.8 people per square mile falls into the "Over 1,000" category, which is represented by the darkest shade on the map. This shade is primarily found in Suffolk County and some parts of Middlesex County.
- Answer: Andover could be in Suffolk County or Middlesex County, as both areas have similar high population densities.

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#### 5. Berkshire County is big, but it is lightly populated. Suffolk County is small, but has many people. Which county do you think has more people, or do you think their populations are about the same?
- Analysis:
- Berkshire County: Large in size but sparsely populated (light yellow on the map).
- Suffolk County: Small in size but densely populated (dark red on the map).
- Despite Berkshire's larger area, its low population density means it likely has fewer people overall compared to Suffolk County, which has a much higher density in a smaller area.
- Answer: Suffolk County likely has more people than Berkshire County.

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#### Bonus Question: If the town of Billerica is about 26 square miles and has 40,423 people, what is its population density?
- Formula for Population Density:
\[
\text{Population Density} = \frac{\text{Total Population}}{\text{Area in Square Miles}}
\]
- Calculation:
\[
\text{Population Density} = \frac{40,423}{26} \approx 1,554.73 \text{ people per square mile}
\]
- Answer: The population density of Billerica is approximately 1,554.73 people per square mile.

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Final Answers:

1. Suffolk County
2. Berkshire County, Franklin County, Hampshire County
3. Proximity to Boston attracts more residents due to jobs, infrastructure, and services.
4. Suffolk County or Middlesex County
5. Suffolk County
Bonus: 1,554.73 people per square mile

Boxed Final Answer:
\[
\boxed{1. \text{Suffolk County}, 2. \text{Berkshire County, Franklin County, Hampshire County}, 3. \text{Proximity to Boston}, 4. \text{Suffolk County or Middlesex County}, 5. \text{Suffolk County}, \text{Bonus: } 1,554.73 \text{ people per square mile}}
\]