Question

Question 4 (Essay Worth 10 points)

Answer 1

Given

The attached graph

Part A: Is the graph linear or nonlinear

The attached graph has 3 different straight lines, all of which point to different directions. For a graph to be linear, such graph must have just 1 straight line. This means that the graph is nonlinear.

The attached graph is a nonlinear graph

Part B:

(i) The increasing segment

This is the segment that points in the upward direction.

In the attached graph, line segment A [i.e. from (0,0) to (2,16)] represents an upward movement of the ant.

Line segment A is the increasing segment

(ii) The decreasing segment

This is the segment that points in the downward direction.

In the attached graph, line segment C [i.e. from (4,16) to (6,0)] represents a downward movement of the ant.

Line segment C is the decreasing segment

(ii) The constant segment

This segment is represented by a vertical or a horizontal line.

In the attached graph, line segment B [i.e from (2,16) to (4,16)] represents a horizontal line.

Line segment B is the constant segment

Part C: The movement of the ant

The ant travels at a constant speed through segment A. It then rests for 2 seconds (i.e. segment B) and finally travels at a constant speed through segment C.

In addition, the 2 seconds it rests at segment B is the difference of the x-coordinates of the end points of line segment B

$Time = 4 - 2 = 2$