Question

The graph below shows the distance (y) between Hannah and her home, in km, after a certain time (x), in hours:

Graph of first line going through ordered pairs 0, 4 and 2, 4. Graph of second line going through ordered pairs 2, 4 and 3, 2. Graph of third line going through ordered pairs 3, 2 and 4, 4. Graph of fourth line going through ordered pairs 4, 4 and 6, 4.

Which of the following statements best describes Hannah's distance from her home?
a. It is decreasing in the interval 2 < x < 4 hours.
b. It is increasing in the interval 2 < x < 3 hours.
c. It is decreasing in the interval 2 < x < 3 hours.
d. It is increasing in the interval 2 < x < 4 hours.

Answer 1

Distance is decreasing in the interval 2 < x < 3 hours.

Step-by-step explanation:

Graph Data ( graph attached)

x hrs y km

0               4

2               4

3               2

4               4

6               4

First line - Slope 0  , Distance Constant

Second line - Slope - 2 , Distance Decreasing

Third Line - Slope 2  Distance increasing

Fourth line   Slope 0 Distance Constant

Distance is decreasing in the interval 2 < x < 3 hours.

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