Sociology: Status Sociologists have estimated how a person’s “status” in society (as per...

Sociology: Status Sociologists have estimated how a person’s “status” in society (as perceived by others) depends on the person’s income and education level. One estimate is that status S depends on income i according to the formula S(i) = 16√i (for i ≥ 0), and that status depends upon education level e according to the formula

a. Sketch the graph of the preceding function S(e).

b. Is the curve concave up or down? What does this signify about the rate at which status increases at higher education levels?