Question

ava is skiing with her family. she rides a chairlift up from the base of the mountain and waits a few minutes before she starts to ski back down. about halfway down the trail, she falls and has to readjust her ski boots. then she continues down to the end of the trail at the base of the mountain.
which graph could show avas height above the base of the mountain over time?

Explanation:

Step1: Analyze Ava's height changes over time

• Ava starts at the base (height = 0), rides the chairlift up: height increases over time.
• Waits a few minutes: height remains constant (horizontal line).
• Skis down: height decreases over time.
• Falls and readjusts: height remains constant (short horizontal line) during adjustment.
• Continues down to base: height decreases to 0.

Step2: Match with the graphs

• The bottom - left graph:
• Starts at (0,0), increases (chairlift), horizontal (waiting), decreases (skiing), short horizontal (adjustment), then decreases to 0. This matches the sequence of height changes.
• The top - left graph has an upward spike after the adjustment which is incorrect as she should continue down. The right - side graphs start at a non - zero height initially (she starts at the base, height 0), so they are incorrect.

Answer:

The bottom - left graph (the third graph in the order, the one in the bottom - left corner of the four - graph set)