Let's analyze the question step by step to fill in the blanks accurately.
1. Type of Chart:
The provided data represents the population of selected US cities in the years 1850 and 1900 in a structured format, specifically a table. Hence, the type of chart is a "table".
2. City with Largest Population Growth:
To find the city with the largest population growth between 1850 and 1900, we look at the population numbers for each city and calculate the difference for each one:
- New York: 3,437,202 - 515,547 = 2,921,655
- Chicago: 1,698,575 - 29,963 = 1,668,612
- Philadelphia: 1,293,697 - 121,327 = 1,172,370
- San Francisco: 342,782 - 34,776 = 308,006
Among these cities, New York had the largest population growth, which amounts to 2,921,655. Hence, the city with the largest growth is "New York".
3. Expected Population of New York in 1950:
To predict the population of New York in 1950, assuming the trend continued as it did from 1850 to 1900, we need to determine the average growth per decade and then extrapolate it for the next five decades from 1900 to 1950.
The population growth from 1850 to 1900 for New York was 2,921,655. Over five decades (50 years), the average growth per decade is:
[tex]\[
\text{Average Growth per Decade} = \frac{2,921,655}{5} = 584,331
\][/tex]
If this trend continued, the expected population increase from 1900 to 1950 would be:
[tex]\[
\text{Population Increase (1900 to 1950)} = 584,331 \times 5 = 2,921,655
\][/tex]
Adding this to the population in 1900, the expected population of New York in 1950 would be:
[tex]\[
3,437,202 + 2,921,655 = 6,358,857
\][/tex]
It's important to note that each part involved specific arithmetic operations and logical steps to conclude.
So, the final filled-in statement would be:
```
This chart is a table.
The city that had the largest growth in population between 1850 and 1900 was New York.
If the trend continued, the expected population of New York in 1950 would be 6,358,857.
```
