4. the distance, y, in centimeters, of an ant from a hole in the tree for a certain amount of time, x, in seconds, is shown in the graph: a graph titled motion of ant is shown. the graph shows time in seconds on the x-axis and the distance from hole in centimeters on the y-axis. the scale on the x-axis is shown from 0 to 6 at increments of 1, and the scale on the y-axis is shown from 0 to 18 at increments of 3. the graph has 3 straight lines. the first line is labeled k and joins ordered pairs 0, 0 and 2, 9. the second line is labeled l and joins ordered pairs 2, 9 and 5, 9. the third line is labeled m and joins ordered pairs 5, 9 and 7, 0. part a: is the graph linear or nonlinear? explain your answer. (2 points) part b: in which segments is the graph increasing, decreasing, and constant? (3 points) part c: in your own words, describe the motion of the ant, as shown on the graph. (5 points)

The graph being described in the question looks like the one in the attachment.

PART A
A linear graph is described to have a uniform slope. Looking at the graph, we can see that the line increases, flattens, and decreases again. Because of this we know that it changes slope for these three different lines.

Therefore, we can say that the graph is nonlinear.

PART B
We can tell which part of the graph is increasing by looking at the slope which is positive. In this case it would be line segment K since you can see that its y value started from 0 and ended in 9.

For the constant segment, we look at the line with slope of zero. This would then be the line segment L since its y value started and ended with 9. It did not change at all.

Lastly, for the decreasing segment, we'll look at the line with the negative slope. This would be line segment M since we can see that its y value started from 9 and ended at zero.

ANSWERS: Increasing: K, Constant: L, Decreasing: M (refer to graph)

PART C
We can say that the ant started walking away from the hole for two seconds before stopping when it is 9cm away from it. The ant then stayed at the same spot for three seconds before going back to the hole in two seconds.