Question

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.

Answer 1

on plato and edmentum the fourth graph is the correct option

Explanation:

I took the test on both and it was correct on both.

Answer 2

The fourth graph

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.