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Question
ernesto walked from the hospital to the art supply store and then from the art supply store to the locksmith. how far did ernesto walk in all? flower shop hospital art supply store locksmith units
Step1: Identify Coordinates
Find coordinates of hospital, art supply store, locksmith.
- Hospital: $(-2, -3)$
- Art Supply Store: $(-2, 2)$ (Wait, no—wait, the icons: hospital is the lower one, art supply? Wait, the legend: hospital (first brown), art supply (second brown), locksmith (magnifying glass). Let's recheck:
- Hospital: $(-2, -3)$ (the lower brown at x=-2, y=-3)
- Art Supply Store: $(-2, 2)$? No, wait the upper brown: x=-2, y=2? Wait, no, the legend: first brown (hospital), second brown (art supply store), magnifying glass (locksmith). So:
- Hospital: $(-2, -3)$
- Art Supply Store: $(-2, 2)$? Wait, no, the grid: let's list positions:
- Hospital (brown, lower): x=-2, y=-3 (since at x=-2, y=-3)
- Art Supply Store (brown, upper): x=-2, y=2? Wait, no, the upper brown is at x=-2, y=2? Wait, the locksmith is at (-1, 2) (magnifying glass at x=-1, y=2). Wait, maybe I misread. Let's correct:
- Hospital: $(-2, -3)$ (brown at x=-2, y=-3)
- Art Supply Store: $(-2, 2)$ (brown at x=-2, y=2)
- Locksmith: $(-1, 2)$ (magnifying glass at x=-1, y=2)
Wait, no—wait the problem says: Ernesto walked from hospital to art supply store, then to locksmith.
First, distance from hospital to art supply store: same x-coordinate (-2), so vertical distance. y-coordinates: hospital at y=-3, art supply at y=2. So distance is |2 - (-3)| = 5 units.
Then, distance from art supply store to locksmith: art supply at (-2, 2), locksmith at (-1, 2). Same y-coordinate, horizontal distance. |-1 - (-2)| = 1 unit.
Total distance: 5 + 1 = 6? Wait, no—wait maybe I got the coordinates wrong. Let's re-express the grid:
The grid has x from -3 to 3, y from -3 to 3.
- Hospital (brown, lower): x=-2, y=-3 (row y=-3, column x=-2)
- Art Supply Store (brown, upper): x=-2, y=2 (row y=2, column x=-2)
- Locksmith (magnifying glass): x=-1, y=2 (row y=2, column x=-1)
So:
- Hospital to Art Supply Store: same x (-2), so vertical distance. y1=-3, y2=2. Distance: |2 - (-3)| = 5.
- Art Supply Store to Locksmith: same y (2), x1=-2, x2=-1. Distance: |-1 - (-2)| = 1.
Total: 5 + 1 = 6? Wait, but maybe I mixed up art supply and hospital. Wait, maybe the art supply is the upper brown, hospital is lower. Then:
Hospital: (-2, -3), Art Supply: (-2, 2). Distance: 2 - (-3) = 5 (since vertical, same x).
Art Supply to Locksmith: Art Supply at (-2, 2), Locksmith at (-1, 2). Horizontal distance: |-1 - (-2)| = 1.
Total: 5 + 1 = 6.
Wait, but maybe the art supply is at (-2, 2) and hospital at (-2, -3). Then yes.
Alternatively, maybe I misassigned. Let's check again:
Legend:
- Flower shop: green gear at (-1, -2)
- Hospital: brown at (-2, -3)
- Art Supply Store: brown at (-2, 2)
- Locksmith: magnifying glass at (-1, 2)
Yes. So:
Step 1: Distance from Hospital to Art Supply Store:
Since same x-coordinate (-2), distance is |y2 - y1| = |2 - (-3)| = 5.
Step 2: Distance from Art Supply Store to Locksmith:
Same y-coordinate (2), distance is |x2 - x1| = |-1 - (-2)| = 1.
Total distance: 5 + 1 = 6.
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