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?

The student stopped for at least one rest break.
The student stopped for at least one rest break.

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 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 spent more time resting than riding his bike.

1 answer

To determine which statements about the student's journey are true, let's analyze each statement based on the typical characteristics of a distance vs. time graph:

  1. The student stopped for at least one rest break.

    • If the graph shows a horizontal line segment (indicating no distance covered over time), this statement is true. If there are segments where the distance does not change, that indicates a rest break.
  2. The student rode faster at the beginning, rested, then rode at a slower pace, rested, and then rode at a faster pace.

    • If the segments of the graph show a steeper initial slope (indicating a faster speed), followed by a flat line (rest), then a gentler slope (slower speed) with another flat line (rest), and finally a steeper slope (faster), this statement is true.
  3. The student rode slower, then a bit faster, then rested at the ice cream shop.

    • If the graph shows a slow initial slope, followed by a steeper slope representing a faster pace before reaching a final flat line that indicates rest at the ice cream shop, this statement could be true. However, it depends on the specific graph context.
  4. The student rode faster at the end of his ride than at the beginning.

    • This statement is true if the final steep slope on the graph is greater than the initial steep slope. If both the initial and final slopes are compared and the final is steeper, it indicates a faster pace at the end.
  5. The student spent more time resting than riding his bike.

    • This statement is true if the horizontal line segments (rest) are longer in duration than the slope segments (riding). If the graphical representation shows longer stretches of rest compared to riding, this statement holds.

To evaluate these statements accurately, you'd need to assess the graph based on these logical interpretations. If graphs are not contrasted, some statements can be ambiguous without a visual representation. Generally, ensure that you check the slopes and flat line segments for accurate evaluations.