Question

Sasha hikes into a canyon. She takes a break at the rest stations every 2/3 of a mile. If she started at sea level and has hiked down to the fourth rest station, what is Sasha’s elevation now? Select all that apply.

a. -8/3
b. -4 2/3
c. 14/3
d. 2 2/3
e 4/3

Answer 1

Answer:

a. -8/3 miles below sea level.

Step-by-step explanation:

Sasha started at sea level and has hiked down to the fourth rest station.

Now sea level is 0.

Sasha takes a break at the rest stations every 2/3 of a mile.

This means she is down to 4 rest points means 4 times 2/3

This becomes = $4\times(\frac{2}{3} )=\frac{8}{3}$

But the answer will be in negative as she is below 0.

So, correct answer is: a. -8/3 miles below sea level.

Answer 2

Shasha's elevation at the fourth rest station is 2 2/3

Position of rest station = 2/3 of a mile

Sea level = 0

The 4th rest station will be located at :

4 × 2/3 = 8/3

Therefore, the position of the fourth rest station from Shasha's starting position is (0 + 8/3) = 8/3

Since, she's hiking upward her position will be 8/3 = 2 2/3

Therefore, Shasha's elevation is

$2 \frac{2}{3}$

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