James is researching earthquakes for a science report. he is trying to come up with his own scale to rank the intensity of an earthquake. he notices that the difference in the intensity of the smallest earthquake, x, and the largest earthquake, y, is a magnitude of several hundred thousand. james comes up with a scale that allows him to show these differences and is easy to use and interpret. which of the following functions best model the situation above?

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.