Work It Out, Chapter 2a, Step 4

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

(Speaker)
The last part of the problem asks you to identify if the relationship is positive or negative and increasing or decreasing.

(Description)
The figure consists of two coordinate planes. The left coordinate plane shows Airborne pollutants as a dependent variable on the y-axis and Economic Growth as an independent variable on the x-axis. A dotted vertical line from 1.5 percent on the x-axis up to 5 percent on the y-axis is drawn. Another dotted horizontal line from 5 percent on the y-axis to 1.5 percent on the x-axis is drawn. Both lines intersect at the point with coordinates, 1.5 percent and 5 percent. This point is labeled as point, A. Similarly, the vertical and the horizontal dotted lines are drawn from 3 percent on the x-axis and from 6 percent on the y-axis and intersect at point B with coordinates, 3 percent and 6 percent. The right coordinate plane also shows Airborne pollutants versus Economic Growth. The vertical and the horizontal dotted lines are drawn from 3.5 percent on the x-axis and from 5.5 percent on the y-axis and intersect at point C with coordinates, 3.5 percent and 5.5 percent. Similarly, the vertical and the horizontal dotted lines are drawn from 4.5 percent on the x-axis and from 7.5 percent on the y-axis and intersect at point D with coordinates, 4.5 percent and 7.5 percent.

(Speaker)
We can see by our graphs in parts b and c that the slope in both cases is positive.

(Description)
On the left graph, a vector from point, B, to point, A, is drawn. It is labeled as Slope equals the change in Y divided by the change in X equals 1 divided by 1.5 equals 2 divided by 3. On the right graph, a vector from point, C, to point, D, is drawn. It is labeled as Slope equals the change in Y divided by the change in X equals 7.5 minus 5.5 divided by 4.5 minus 3.5 equals 2 divided by 1 equals 2.

(Speaker)
By comparing the slope from part b with the slope from part c, we can also see that the relationship is increasing. The slope is getting steeper as economic growth increases.