Problem 4 · Relate proportional rise and run · 4 points
Made by AI and not reviewed by a real person.
Start at (0, 3) and travel along the drawn line toward (2, 7). When your vertical climb equals the horizontal distance you still have to go, what fraction of the segment between the labeled points have you traveled?
- 3/4
- 1/2
- 2/3
- 1/4
- 1/3
Show a hint
- Traveling part of a straight segment gives you the same fraction of its total rise and its total horizontal distance. Think about which distance is still left.
- Let t be the fraction of the segment traveled. The climb so far is 4t, while the horizontal distance left is 2(1−t).
Show the answer and solution
Answer: E — 1/3
Between the labeled points, the total rise is 4 and the total horizontal distance is 2. If t of the straight segment has been traveled, the climb is 4t and the horizontal distance left is 2(1−t). Thus 4t = 2(1−t), giving t = 1/3. The tempting 2/3 is the fraction still left, not the fraction traveled.