The figure shows four squares. Each square encloses an array of dots. Squares A and B have side length 2 inches. Squares C and D have side length 1 inch.

1. Complete the table with information about each square.

   square	area of the square in square inches	number of dots	number of dots per square inch
   A
   B
   C
   D

2. Compare each square to the others. What is the same and what is different?

Here are pictures of two different neighborhoods.

This image depicts an area that is 0.3 kilometers long and 0.2 kilometers wide.

This image depicts an area that is 0.4 kilometers long and 0.2 kilometers wide.

An aerial image of a neighborhood displaying the roofs of houses. A length of 0 point 1 kilometer indicating one fourth of the length of the neighborhood is indicated. There are a total of 9 or 10 houses displayed.

For each neighborhood, find the number of houses per square kilometer.

At the time that data was collected in 2023:

• New York City had a population of 8,468 thousand people and covered an area of 1,214 square kilometers.
• Los Angeles had a population of 3,849 thousand people and covered an area of 1,302 square kilometers.

1. Each point, labeled or , corresponds to one of the two cities. Which is which? Label them on the graph.

   

   Two points labeled A and B plotted on a coordinate plane. The a-axis is labeled "area". The p-axis is labeled "population." Point A is to the right of the p-axis and high above the a-axis. Point B is to the right of point A and above the a-axis.

2. Write an equation for the line that passes through and . What is the constant of proportionality? 

3. Write an equation for the line that passes through and . What is the constant of proportionality?  

4. What do the constants of proportionality tell about the crowdedness of these two cities?