Mitch and his brother, Terry, went on a hiking expedition. Starting at sea level, the brothers climbed to a scenic cliff located 6.6 kilometers above them. From there, they descended 1.3 kilometers in one hour. Mitch discovered that he had left behind some essential supplies on the cliff. So, the brothers decide to head back up. They climbed 0.8 kilometer within the next hour. At this point, Mitch and Terry were ___ away from the scenic cliff.
A) 0.5 kilometers
B) 4.5 kilometers
C) 6.1 kilometers
D) 7.1 kilometers

Question

Mitch and his brother, Terry, went on a hiking expedition. Starting at sea level, the brothers climbed to a scenic cliff located 6.6 kilometers above them. From there, they descended 1.3 kilometers in one hour. Mitch discovered that he had left behind some essential supplies on the cliff. So, the brothers decide to head back up. They climbed 0.8 kilometer within the next hour. At this point, Mitch and Terry were ___ away from the scenic cliff.
A) 0.5 kilometers
B) 4.5 kilometers
C) 6.1 kilometers
D) 7.1 kilometers

calculusxy · Answer

Let's get an expression:

Sea level = 0km
Climbed 6.6 km = +6.6km
Descend 1.3km = -1.3km
Climbed 0.8km = +0.8km

Put all of them together:
$$\large 0 + 6.6 - 1.3 + 0.8 = ?$$

calculusxy · Answer

And then you would have to subtract it from the height of the scenic cliff because the question is asking for how far they are away from the scenic cliff. 

$$\large 6.6 - ? $$
and $\large ?$ represents the answer to the expression from above: $\large 0 + 6.6 - 1.3 + 0.8$

ninjaslice · Answer

a