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Jesse walked 7 km to the west. Then he walked twice as far toward the east. He continued toward the east for another 3 km. Determine the total distance that Jesse walked?​

Respuesta :

Answer:

24 km or 10 km

Step-by-step explanation:

There are two ways I took this question to be.

First way:

The first way is adding all the distances. Like as Jesse walked to the west and then to east, I won't be using a "number line". For example, Jesse started at point 0 on a number line. Going west counts as going into the negative zone. Going east counts as going to into the positive zone; I won't be doing that.

So for the first way, we know that Jesse walked 7 km towards the west. If he walked twice as far towards the east, he walked 7 km * 2 = 14 km towards the east. So far, Jesse has walked 7 km + 14 km = 21 km.

Now, the explanation tells us that Jesse walked for another 3 km towards the east. 21 km + 3 km = 24 km.

24 km is the answer for the first way.

Second way:

The second way includes the "number line" I was talking about before.

Walking towards the west means walking into the negative zone of a number line, to the left. So, Jesse first walks 7 km. He is at -7 on a number line.

Then, he walks towards the east (right), which is walking towards the positive side on a number line. If he walks twice as far as 7 km, he walks 14 km. -7 km + 14 km= 7 km.

Now, we know that Jesse walked for another 3 km east. 3 km + 7 km = 10 km.

10 km is the answer for the second way.

I hope this helped! The first way makes a lot more sense to me, but I didn't want to miss out on anything or get the question wrong. Pick whatever makes more sense to you!