a cyclist traveling east along a straight road. After passing point be (46m east), the cyclist continues to travel at an average velocity of 12m/s east and arrives at point C 3.0s after.

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Fiona,

Let the point zero on the x-axis represent the starting point. Then point B has an xcoordinate of 46. If the cyclist is moving at 12 meters per second moving to the right on the x-axis, then after 3 seconds, the cyclist has moved 3 * 12 = 36 meters. Therefore, point C has an x-coordinate of 46 + 36 = 82.

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