Question

HELP WITH MATH PLEASE

answers choice for blanks
0.25|x-400|-1600
|x-0.25|-400
|x-400|-0.25
0.25|x-1600|-400

600
800
1000
1200

1800
2000
2200
2400

Answer 1

• 0.25|h -1600| -400
• 1000
• 2200

Explanation:

Once again, you can choose the correct equation by finding the one that gives d=0 for h=0. (Note that the problem statement requires the independent variable to be h, not x.)

Then you can use that equation to find h for d=-250:

-250 = 0.25|h -1600| -400

150 = 0.25|h -1600|

600 = |h -1600|

This resolves to two equations:

• -600 = h -1600 . . . ⇒ . . . h = 1000
• 600 = h -1600 . . . ⇒ . . . h = 2200

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Or, you can realize the distance from the west end is 4 times the depth. At a depth of 250 ft, that distance is h=1000 ft. That is 600 ft from the center, so 1200 ft from the same depth on the other side of the crater, which is at h=2200 ft.