Question

Gia is attending a trekking camp. She walks from her tent to a hilltop in 4 hours. She has a picnic with her friends on the hilltop for 3 hours. Gia walks back to her tent in 2 hours. Which graph best represents the distance, y, in miles, traveled by Gia for a certain amount of time, x, in hours?

A) A graph shows Time in hours on the x-axis and Gia’s Distance from Tent in miles on y-axis. The graph shows three straight lines. The first straight line joins ordered pairs 0, 0 and 2, 6. The second straight line joins ordered pairs 2, 6 and 5, 6. The third straight line joins ordered pairs 5, 6 and 9, 0.

B) A graph shows Time in hours on the x-axis and Gia’s Distance from Tent in miles on y-axis. The graph shows three straight lines. The first straight line joins ordered pairs 0, 0 and 2, 6. The second straight line joins ordered pairs 2, 6 and 7, 6. The third straight line joins ordered pairs 7, 6 and 9, 0.

C) A graph shows Time in hours on the x-axis and Gia’s Distance from Tent in miles on y-axis. The graph shows three straight lines. The first straight line joins ordered pairs 0, 0 and 4, 6. The second straight line joins ordered pairs 4, 6 and 7, 6. The third straight line joins ordered pairs 7, 6 and 9, 0.

D) A graph shows Time in hours on the x-axis and Gia’s Distance from Tent in miles on y-axis. The graph shows three straight lines. The first straight line joins ordered pairs 0, 0 and 2, 6. The second straight line joins ordered pairs 2, 6 and 6, 6. The third straight line joins ordered pairs 6, 6 and 9, 0.

Answer 1

C) A graph shows Time in hours on the x-axis and Gia’s Distance from Tent in miles on y-axis. The graph shows three straight lines. The first straight line joins ordered pairs 0, 0 and 4, 6. The second straight line joins ordered pairs 4, 6 and 7, 6. The third straight line joins ordered pairs 7, 6 and 9, 0.

Explanation:

Time is displayed on the x-axis. She reaches the hilltop in 4 hours; this means the time, or x-value, changes from 0 to 4. The points would be from (0, 0) to (4, 6), with 0 being the distance from her tent when she's at the tent and 6 being the distance from her tent to the hilltop.

After she hikes to the hilltop, she has a picnic for 3 hours. This means the time, or x-value, changes from 4 to 7. This means the ordered pairs would be (4, 6) and (7, 6), since the height does not change.

She then hikes back to her tent, which takes her 2 hours. This means the time, or x-value, changes from 7 to 9. This means the ordered pairs would be (7, 6) and (9, 0).

Answer 2

The correct answer for this question is this one:
C) A graph shows Time in hours on the x-axis and Gia’s Distance from Tent in miles on y-axis. The graph shows three straight lines. The first straight line joins ordered pairs 0, 0 and 4, 6. The second straight line joins ordered pairs 4, 6 and 7, 6. The third straight line joins ordered pairs 7, 6 and 9, 0.

Hope this helps answer your question and have a nice day ahead.