Question

Four different objects are placed on a number line at 0. The chart describes the motion of each object.

A 2-column table with 4 rows. The first column labeled object has entries W, X, Y, Z. The second column labeled motion has entries 3 units left, then 3 units right; 6 units right, then 18 units right; 8 units left, then 24 units right; 16 units right, then 8 units left.
Using the information in the chart, the distance and displacement of each object can be determined. Which object has a distance that is three times as great as its displacement?

W
X
Y
Z

Answer 1

Z

Work: starting at 0
- W: 3 left, 3 right → distance = 3+3 = 6, displacement = 0 → no.
- X: 6 right, 18 right → distance = 6+18 = 24, displacement = 24 → ratio 1.
- Y: 8 left, 24 right → distance = 8+24 = 32, displacement = 16 → ratio 2.
- Z: 16 right, 8 left → distance = 16+8 = 24, displacement = 8 → ratio 24/8 = 3.