Answer :
To solve this question in a detailed, step-by-step manner, we will address each requirement one at a time.
1. Type of Chart:
The provided data is organized in a grid with rows and columns, displaying city names, their founding dates, and population numbers for 1850 and 1900. This type of organization is known as a table.
2. City with the Largest Growth in Population:
We need to calculate the population growth from 1850 to 1900 for each city:
- New York: [tex]\(3,437,202 - 515,547 = 2,921,655\)[/tex]
- Chicago: [tex]\(1,698,575 - 29,963 = 1,668,612\)[/tex]
- Philadelphia: [tex]\(1,293,697 - 121,327 = 1,172,370\)[/tex]
- San Francisco: [tex]\(342,782 - 34,776 = 308,006\)[/tex]
Comparing these values, New York had the largest growth in population, which is 2,921,655.
3. Expected Population of New York in 1950:
To find the estimated population of New York in 1950 assuming a linear growth trend, we calculate the average annual growth rate from 1850 to 1900 (50 years).
- Average Annual Growth Rate: The growth from 1850 to 1900 is [tex]\(2,921,655\)[/tex]. Dividing by 50 years gives:
[tex]\[ \text{Average Annual Growth Rate} = \frac{2,921,655}{50} = 58,433.1 \][/tex]
Now, to estimate the population in 1950, taking the 1900 population and adding 50 more years of growth:
[tex]\[ \text{Estimated Population in 1950} = 3,437,202 + 50 \times 58,433.1 \][/tex]
Performing this calculation:
[tex]\[ 3,437,202 + 2,921,655 = 6,358,857 \][/tex]
In conclusion:
1. The chart is a table.
2. The city that had the largest growth in population between 1850 and 1900 was New York.
3. If the trend continued, the expected population of New York in 1950 would be 6,358,857.
1. Type of Chart:
The provided data is organized in a grid with rows and columns, displaying city names, their founding dates, and population numbers for 1850 and 1900. This type of organization is known as a table.
2. City with the Largest Growth in Population:
We need to calculate the population growth from 1850 to 1900 for each city:
- New York: [tex]\(3,437,202 - 515,547 = 2,921,655\)[/tex]
- Chicago: [tex]\(1,698,575 - 29,963 = 1,668,612\)[/tex]
- Philadelphia: [tex]\(1,293,697 - 121,327 = 1,172,370\)[/tex]
- San Francisco: [tex]\(342,782 - 34,776 = 308,006\)[/tex]
Comparing these values, New York had the largest growth in population, which is 2,921,655.
3. Expected Population of New York in 1950:
To find the estimated population of New York in 1950 assuming a linear growth trend, we calculate the average annual growth rate from 1850 to 1900 (50 years).
- Average Annual Growth Rate: The growth from 1850 to 1900 is [tex]\(2,921,655\)[/tex]. Dividing by 50 years gives:
[tex]\[ \text{Average Annual Growth Rate} = \frac{2,921,655}{50} = 58,433.1 \][/tex]
Now, to estimate the population in 1950, taking the 1900 population and adding 50 more years of growth:
[tex]\[ \text{Estimated Population in 1950} = 3,437,202 + 50 \times 58,433.1 \][/tex]
Performing this calculation:
[tex]\[ 3,437,202 + 2,921,655 = 6,358,857 \][/tex]
In conclusion:
1. The chart is a table.
2. The city that had the largest growth in population between 1850 and 1900 was New York.
3. If the trend continued, the expected population of New York in 1950 would be 6,358,857.
