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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.
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 |
Compare each square to the others. What is the same and what is different?
The figure shows two arrays, each enclosed by a square that is 2 inches wide.
Two equal sized squares with an array of dots inside each. The left square contains an 8 by 8 array of dots. In the right square, the array of dots are as follows: Row 1: 4 blue dots, 2 yellow dots. Row 2: 4 blue dots, 2 yellow dots. Row 3: 4 blue dots, 2 yellow dots. Row 4: 4 blue dots, 2 yellow dots. Row 5: 2 blue dots. Row 6: 2 blue dots. Row 7: 2 blue dots. Row 8: 2 blue dots.
A blank coordinate grid with one tick mark labeled on each axes. Both tick marks are the same distance from the origin. The horizontal axis is labeled "a" and the tick mark is labeled 1. The vertical axis is labeled "d" and the tick mark is labeled "10".
Draw lines from
What is the constant of proportionality for each relationship? What do the constants of proportionality mean in terms of the dots and squares?
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:
Each point, labeled
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.
Write an equation for the line that passes through
Write an equation for the line that passes through