Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

the graph represents the heights of two climbers on a climbing wall ove…

Question

the graph represents the heights of two climbers on a climbing wall over a 12 - minute time period. which statement is true about the climbers heights? brynn was resting at a constant climbing height when abbys climbing height was decreasing. abbys climbing height was decreasing when brynns climbing height was increasing. the heights of both climbers increased, then decreased, with no rest at a constant height. both climbers rested on the wall at a constant height for 2 minutes.

Explanation:

Step1: Analyze Brynn's rest and Abby's height change

  • Look at the graph. When Brynn was resting (horizontal line segment in her graph), check Abby's graph.
  • Brynn has a horizontal (constant - height) segment from \(t = 6\) to \(t = 8\). During this time, Abby's height is decreasing (the slope of Abby's graph is negative).

Step2: Analyze other options

  • Option 2:
  • When Brynn's height is increasing (from \(t = 0\) to \(t=6\)), Abby's height is also increasing (positive - slope for both).
  • Option 3:
  • Brynn has a horizontal (rest) segment. So, it's not true that there was no rest.
  • Option 4:
  • Brynn rested for \(8 - 6=2\) minutes. Abby has no 2 - minute rest segment.

Answer:

Brynn was resting at a constant climbing height when Abby's climbing height was decreasing.