The graph shows the distance (y) between Hannah and her home, in km, after certain amounts of 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?
It is decreasing in the interval 2 < x < 4 hours.
It is increasing in the interval 2 < x < 3 hours.
It is decreasing in the interval 2 < x < 3 hours.
It is increasing in the interval 2 < x < 4 hours.
Based on the given information, the distance between Hannah and her home is constant at 4 km from 0 to 2 hours (interval 0 ≤ x ≤ 2 hours). Then, the distance decreases to 2 km at 3 hours (interval 2 ≤ x ≤ 3 hours) and increases back to 4 km at 4 hours (interval 3 ≤ x ≤ 4 hours).
Therefore, the correct statement is:
It is increasing in the interval 2 < x < 3 hours and decreasing in the interval 3 < x < 4 hours.
None of the given options accurately describes the distance in this specific scenario.
that is not true
Apologies for the confusion. Let's reevaluate based on the given information.
The graph shows that the distance between Hannah and her home remains constant at 4 km for the entire duration, from 0 to 6 hours.
Therefore, none of the provided options accurately describes Hannah's distance from her home based on the given graph.