Question

Create equations from word problem, then turn them into an augmented matrix? Not very good at this, please help!

Answer 1

Fredric leads a team of hikers for a full-day hike. The total elevation gain during the hike is 2,100 feet. All of the hikers have to pass two checkpoints before they reach the peak. The elevation gain from the starting point to checkpoint 1 is 100 feet less than double the elevation gain from checkpoint 2 to the peak. The elevation gain from checkpoint 1 to checkpoint 2 is the mean of the elevation gain from the start to checkpoint 1 and the elevation gain from checkpoint 2 to the peak. Let x represent the elevation gain from the starting point to checkpoint 1, y represent the elevation gain from checkpoint 1 to checkpoint 2, and z represent the elevation gain from checkpoint 2 to the peak. Which augmented matrices represent the context of this scenario?

Answer 2

Option a:
1 0 -1 | 200
0 1 0 | 700
0 0 3 | 1,800

b:
1 1 1 | 2,100
-1 0 2 | 100
0.5 -1 0.5| 0

c:
1 0 0 | 800
0 1 0 | 700
0 0 1 | 600

d:
1 1 1 | 2,100
-1 0 2 | 100
0.5 1 0.5 | 0

e:
1 0 0 | 900
0 1 0 | 700
0 0 1 | 500

f:
1 0 -2 | -100
0 1 3 | 2,200
1 0 1 | 1,400

Answer 3

More than one can be selected

Answer 4

@aaronq