The map shown in the image can be called a flat model, conic projection; as shown in the second answer option.
What is a map?
It is a representation of a geographic area.
It is the way of presenting the characteristics of a region graphically.
In the image to which the question refers, we can see that the map is being presented in a flat way, without highlighting curvatures but establishing a straight line in its projection. Furthermore, the map contorts in a conical shape, allowing a well-defined view of the upper part of the globe.
You did not show the image to which the question refers, but I found it and you can see it in the attachment.