The total area of a coastal city is 92.1 square miles, of which 11.3 square miles is water. If the city had a population of 621,000 people in the year 2010, which of the following is closest to the population density, in people per square mile of land area, of the city at that time?

Options

A. 6740
B. 7690
C. 55000
D. 76000

Explanation

To find the population density of the coastal city in 2010, we will follow these steps:

### Step 1: Determine the land area
The total area of the city is given as 92.1 square miles, and the area that is water is 11.3 square miles. To find the land area, we subtract the water area from the total area.

\[ \text{Land Area} = \text{Total Area} - \text{Water Area} \]
\[ \text{Land Area} = 92.1 \, \text{square miles} - 11.3 \, \text{square miles} = 80.8 \, \text{square miles} \]

### Step 2: Calculate the population density
Population density is defined as the population divided by the land area. The population of the city is given as 621,000 people.

\[ \text{Population Density} = \frac{\text{Population}}{\text{Land Area}} \]
\[ \text{Population Density} = \frac{621,000 \, \text{people}}{80.8 \, \text{square miles}} \]

### Step 3: Perform the division
Now, we will perform the division to find the population density.

\[ \text{Population Density} \approx 7690.24 \, \text{people per square mile} \]

### Step 4: Round to the nearest whole number
Since population density is typically expressed as a whole number, we round 7690.24 to the nearest whole number.

\[ \text{Population Density} \approx 7690 \, \text{people per square mile} \]

Thus, the population density of the city in 2010 is approximately **7690 people per square mile**.

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