The length of a rectangle is one unit less than three times its width. identify the graph that represents the relationship between the area of the rectangle, y, and the width of the rectangle, x

The fourth graph

Step-by-step explanation:

Let x = width

The length is one less than 3 times the width, so length = 3x - 1

So we have a rectangle with length, 3x - 1, and width, x

So the area = y = (3x-1)(x)

So our equation:

y = (3x - 1)*(x)

If we check the x-intercepts, we see that y = 0 when x = 0 and 1/3.  The only graph that has (0,0) and (1/3, 0) is the fourth graph, making that one our graph.

Step-by-step explanation: