Question

how far is it from the art gallery to the office supply store?

Explanation:

Step1: Identify coordinates

Find the coordinates of the art gallery and the office supply store on the grid. The art gallery (let's say its icon) is at (4, 3) and the office supply store (red pin) is at (4, 1)? Wait, no, looking at the grid: the art gallery (the brown icon) is at column 4, row 3? Wait, the x-axis (horizontal) is labeled 0 - 5, y-axis (vertical) 0 - 5. Wait, the office supply (red pin) is at (4, 1) (column 4, row 1), and the art gallery (brown) is at (4, 3)? Wait, no, let's check the positions. Wait, the grid: columns are 0 (left) to 5 (right), rows 0 (top) to 5 (bottom). Wait, the office supply (red pin) is at column 4, row 1 (since y=1). The art gallery (brown) is at column 4, row 3? Wait, no, the art gallery's icon: looking at the lower legend, the art gallery is the brown one. On the grid, the brown one is at (4, 3) (column 4, row 3). The office supply (red pin) is at (4, 1) (column 4, row 1). Wait, no, maybe I mixed up rows. Wait, the y-axis: row 0 is top, row 5 is bottom. So the office supply (red pin) is at (4, 1) (x=4, y=1), and the art gallery (brown) is at (4, 3) (x=4, y=3)? Wait, no, the vertical distance: the difference in y-coordinates. Wait, maybe the art gallery is at (4, 3) and office supply at (4, 1)? Then the distance is |3 - 1| = 2? Wait, no, wait the grid lines: each square is 1 unit. Let's check the positions again. Wait, the radio tower is at (1, 2) (x=1, y=2). The post office is at (2, 1) (x=2, y=1). The magic shop at (1, 1) (x=1, y=1). The office supply (red pin) at (4, 1) (x=4, y=1). The art gallery (brown) at (4, 3) (x=4, y=3). So horizontal distance: same x (4), vertical distance: 3 - 1 = 2? Wait, no, row 1 to row 3: the number of units between them. Wait, from y=1 to y=3: the difference is 3 - 1 = 2? Wait, no, if row 1 is top (y=1) and row 3 is below, the vertical distance is 3 - 1 = 2 units? Wait, no, let's count the squares. From the office supply (row 1) to art gallery (row 3): moving down 2 rows (since row 1 to row 3: 3 - 1 = 2). Since they are in the same column (x=4), the distance is the vertical difference. So 3 - 1 = 2? Wait, no, maybe I got the rows wrong. Wait, the y-axis: row 0 is top, so row 1 is below row 0, row 2 below row 1, etc. So the office supply is at y=1, art gallery at y=3: the vertical distance is 3 - 1 = 2 units? Wait, but let's check the grid. The office supply (red pin) is at (4, 1) (x=4, y=1), art gallery (brown) at (4, 3) (x=4, y=3). So the distance is |3 - 1| = 2 units? Wait, no, maybe the art gallery is at (4, 3) and office supply at (4, 1), so the distance is 3 - 1 = 2? Wait, but let's count the squares between them. From y=1 to y=3: two squares (row 1 to row 2 is 1 unit, row 2 to row 3 is another unit), so total 2 units. Wait, but maybe I made a mistake. Wait, the art gallery: looking at the lower legend, the art gallery is the brown one. On the grid, the brown one is at (4, 3) (column 4, row 3). The office supply (red pin) is at (4, 1) (column 4, row 1). So the horizontal distance is 0 (same column), vertical distance is 3 - 1 = 2. So the distance is 2 units? Wait, no, maybe the art gallery is at (4, 3) and office supply at (4, 1), so the distance is 2? Wait, but let's check again. Wait, the grid: the x-axis (columns) 0 - 5, y-axis (rows) 0 - 5. The office supply (red pin) is at (4, 1) (x=4, y=1), art gallery (brown) at (4, 3) (x=4, y=3). So the distance is calculated as the absolute difference in y-coordinates (since x is same) or x? Wait, no, same column, so vertical distance. So 3 - 1 = 2. So the distance is 2 units? Wait, but maybe I mixed up rows. Wait, row 0 is top, so y=0 is top, y=5 is bottom. So the office supply is at y=1 (second row from top), art gallery at y=3 (fourth row from top). So the number of units between them: 3 - 1 = 2. So the distance is 2 units.

Step2: Calculate distance

Since they are in the same column (x=4), the distance is the difference in y-coordinates. \( \text{Distance} = |y_{\text{art}} - y_{\text{office}}| = |3 - 1| = 2 \). Wait, no, wait the art gallery's y-coordinate: looking at the grid, the art gallery (brown) is at row 3 (y=3), office supply at row 1 (y=1). So 3 - 1 = 2. So the distance is 2 units.

Answer:

2