The map shows the population of the 10 most populous cities in the United States according to the 2020 census. 1 square unit of area is equivalent to 1 million people.

city	population	area	radius
New York, NY	8,804,190
Los Angeles, CA	3,898,747
Chicago, IL	2,746,388
Houston, TX	2,304,580
Phoenix, AZ	1,608,139
Philadelphia, PA	1,603,797
San Antonio, TX	1,434,625
San Diego, CA	1,386,932
Dallas, TX	1,304,379
San Jose, CA	1,013,240

1. Complete the table to show the area and radius of each circle on the map. (Round each value to the nearest thousandth.)
2. Write a function that takes a population as an input and gives the value in the area column as its output.
3. Write a function that takes a population as an input and gives the value in the radius column as its output.

With your partner, decide on some data you would like to represent on a map. Your data set should include at least 10 locations.

1. Decide on a reasonable size for the circles you will draw on your map. Make sure that the largest circle is not too large and the smallest circle is not too small. Write the scale you will use (for example, 1 million people is equivalent to 1 square centimeter). Fill in the area column so that the data will be represented by circles with area proportional to the data.
2. Fill in the radius column so that a circle with that radius has the correct area.
3. Write an equation that takes the data as an input and outputs the radius.
4. Use a ruler and compass to draw the circles on your map.