Work It Out, Chapter 7, Step 3

(Transcript of audio with descriptions. Transcript includes narrator headings and description headings of the visual content)

(Speaker)
In this part you are asked to find the revenue the government earns from the excise tax.

(Description)
The graph from part B is shown.

(Speaker)
Recall the excise tax with three thousand dollars and there were two hundred thousand trucks sold. To find the revenue we have to simply multiply three thousand dollars by 200 thousand and get six hundred million dollars.

(Description)
The following highlighted text is written to the right of the graph: Government revenue equals 3 thousand dollars times 200 thousand equals 600 million dollars.

(Speaker)
You will also notice this is the area of the shaded region in our graph.

(Description)
This shaded region is represented by a rectangle with the following vertices. The first vertex is a point with coordinates, 0 and 28 thousand dollars. The second vertex is a point with coordinates, 0 and 31 thousand dollars. The third vertex is a point with coordinates, 200 thousand and 31 thousand dollars. The fourth vertex is a point with coordinates, 200 thousand and 28 thousand dollars.

(Speaker)
The shaded region has a height of three thousand dollars and a length of two hundred thousand.

(Description)
The interval between 0 thousand and 200 thousand on the x-axis is put in a bracket and labeled as 200 thousand trucks are imported.

(Speaker)
In other words, the government revenue is equal to the area of the rectangle.