This graph shows the progress of a student riding his bike from home to the ice cream shop.



Which statements are true about his journey?

(2 points)
Responses

The student rode faster at the beginning, rested, then a little slower pace, rested, and then a little faster pace.
The student rode faster at the beginning, rested, then a little slower pace, rested, and then a little faster pace.

The student spent more time resting than riding his bike.
The student spent more time resting than riding his bike.

The student rode slower, then a bit faster, then rested at the ice cream shop.
The student rode slower, then a bit faster, then rested at the ice cream shop.

The student rode faster at the end of his ride than at the beginning.
The student rode faster at the end of his ride than at the beginning.

The student stopped for at least one rest break.

1 answer

To accurately assess the truth of the statements about the student's journey based on the graph (which is not visible here but is assumed to reflect typical patterns of bike riding), let's evaluate each statement individually, assuming standard behaviors in such graphs:

  1. The student rode faster at the beginning, rested, then a little slower pace, rested, and then a little faster pace.

    • This statement could be true if the graph shows a decrease in distance over time (indicating slower speeds) after an initial increase, with flat sections indicating rests.
  2. The student spent more time resting than riding his bike.

    • This depends on the duration of the resting periods compared to the riding intervals. If the graph shows longer flat sections compared to segments with upward distance, this statement could be true.
  3. The student rode slower, then a bit faster, then rested at the ice cream shop.

    • If the graph shows a slow rise followed by a steeper rise right before ending with a flat line (indicating rest at the shop), this statement may also be true.
  4. The student rode faster at the end of his ride than at the beginning.

    • This statement could be false if the initial segments show a steeper incline, while the ending segment has a less steep incline.
  5. The student stopped for at least one rest break.

    • If the graph has flat segments, this statement is likely true, as flat lines typically indicate periods of rest.

Without the actual graph to visualize the changes in speed and distance over time, it's impossible to definitively categorize the truth of these statements. However, you can analyze the graph based on the speed of the lines (steeper for faster riding, flat for resting) and the duration of these segments to determine which statements are true.