Question

what is the total distance the skier travels?
total distance = ? km
note the scale of the number line.
10 km total 11 km total
14 km total 22 km total

Explanation:

Step1: Analyze green segment

The skier starts at -6. The green arrow ends at 4. Distance: $|4 - (-6)| = 10$ km? Wait, no, wait the number line scale: each major tick? Wait, no, let's check the movements. Wait, the green arrow: from -6 to 4? Wait, no, the first movement (green): from -6 to 4? Wait, no, maybe the segments: green, yellow, red. Wait, let's see the number line. The skier starts at -6. Then green: from -6 to 4? Wait, distance: 4 - (-6) = 10? No, maybe the next movements. Wait, maybe the green is from -6 to 4 (distance 10?), no, the options have 22. Wait, maybe each segment: green, yellow, red. Wait, let's re-express. Wait, the number line: -10, -8, -6, -4, -2, 0, 2, 4, 6, 8, 10. So each unit is 2? No, wait, -10 to -8 is 2, so each tick is 2 km? Wait, no, the labels are -10, -8, -6, etc., so the distance between -10 and -8 is 2 km, so each major tick is 2 km? Wait, no, maybe the scale is 2 km per tick. Wait, the skier starts at -6 (position -6). Then green arrow: from -6 to 4. Let's calculate the distance: 4 - (-6) = 10 km? Then yellow arrow: from 4 to 0? Wait, no, the yellow arrow is from 4 to 0? Wait, the yellow arrow's length: from 4 to 0, distance 4 km? Then red arrow: from 0 to 8? Distance 8 km? Wait, 10 + 4 + 8 = 22? Wait, that matches the option 22 km total. Let's check again. Start at -6. Green: -6 to 4: distance is |4 - (-6)| = 10. Yellow: 4 to 0: |0 - 4| = 4. Red: 0 to 8: |8 - 0| = 8. Total: 10 + 4 + 8 = 22. Yes, that's 22.

Step2: Sum the distances

Green: 10 km, Yellow: 4 km, Red: 8 km. Total: 10 + 4 + 8 = 22 km.

Answer:

22 km total