We are given a rectangular city on a grid. We are told that in 2006, the city's population was 567,000 people. We need to find the population density in 2006. The population density is defined as the number of people per square kilometer.

1. Problem Description

We are given a rectangular city on a grid. We are told that in 2006, the city's population was 567,000 people. We need to find the population density in

2

0

0

6. The population density is defined as the number of people per square kilometer.

2. Solution Steps

First, we need to determine the dimensions of the rectangle from the graph.

The length of the rectangle along the x-axis (km) goes from 0 to

5

0. Therefore the length is $50 - 0 = 50$ km.

The width of the rectangle along the y-axis (km) goes from 0 to

3

0. Therefore, the width is $30 - 0 = 30$ km.

Next, we need to find the area of the rectangular city.

The area of a rectangle is given by:

$Area = length * width$

$Area = 50 \text{ km} * 30 \text{ km} = 1500 \text{ km}^2$

Now we can calculate the population density.

Population density is given by:

$Population \text{ } density = \frac{Population}{Area}$

$Population \text{ } density = \frac{567,000 \text{ people}}{1500 \text{ km}^2} = 378 \frac{\text{people}}{\text{km}^2}$

3. Final Answer

378 people/km^2