Question

the map shows the population distribution of the united states.
population distribution of the united states (2010)
one dot represents 7,500 people
which type of map is this?
dot density
political
choropleth
special purpose

Explanation:

The map uses dots to represent population (1 dot = 7,500 people), which is the defining feature of a dot density map. Political maps show boundaries, choropleth maps use shading/color gradients for data, and "special purpose" is too broad.

Answer:

dot density