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 12 at increments of 2. the graph has 3 straight lines. the first line is labeled p and joins ordered pairs 0, 0 and 2, 6. the second line is labeled q and joins ordered pairs 2, 6 and 3, 6. the third line is labeled r and joins ordered pairs 3, 6 and 5, 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)

Part A : ∵ The slope of a line having endpoints and is,

By the given graph,

Line P has endpoints (0,0) and (2,6),

Slope of line P,

Line Q has endpoints (2,6) and (3,6),

Slope of line Q,

Line R has endpoints (3,6) and (5,0),

Hence, the graph is not linear.

Part B :

In the segments P, slope is positive,

So, graph is increasing,

In the segment Q, slope is 0,

So, the graph is constant,

In the segment R, slope is negative,

So, the graph is decreasing.

Part C :

Motion is the change in the position of an object with respect to time,

By the given graph ant is moving away from the hole for 2 seconds then stopped for 3 seconds, finally it moves back to the hole for 2 seconds.

answer: 4

step-by-step explanation:

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