The graph represents the heights of two climbers on a climbing wall over a 12-minute time period.

A graph titled The Climbing Wall where the horizontal axis shows time (minutes), numbered 1 to 12, and the vertical axis shows height (feet) numbered 2 to 24. The line labeled Brynn's climb begins at 0 feet in 0 minutes, to 15 feet from 5 to 7 minutes, to 0 feet in 10 minutes. The line labeled Abby's climb begins at 4 feet in 0 minutes, to 14 feet from 4 to 6 minutes, to 22 feet in 8 minutes, to 0 feet in 12 minutes.

Which statement is true about the climbers’ heights?

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

Respuesta :

Both climbers rested on the wall at a constant height for 2 minutes.

How to determine the true statement?

The illustrative graph that represents the climbers' movement is added as an attachment

From the attached graph, we have the following observation

  • The line of Abby's movement is horizontal from x = 4 to x = 6
  • The line of Brynn's movement is horizontal from x = 5 to x = 7

The difference between the endpoints of both horizontal line is

Difference = 6- 4 = 2

Difference = 7 - 5 = 2

This means that both Brynn and Abby stopped for 2 minutes

Hence, the true statement about is that (d) Both climbers rested on the wall at a constant height for 2 minutes.

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