Make a table with a process column to represent each pattern. Write an expression for the number of tiles in the nth figure.

The picture is a column of squares that is 4X6. In each figure its subtracting a square.

We cannot see the figure to tell how large each square is (e.g., 1x1, 2x2?).

To create a table with a process column to represent each pattern and write an expression for the number of tiles in the nth figure, we will first observe the pattern and identify the relationship between the number of figures and the number of tiles.

We are given that the original figure is a column of squares that is 4x6. In each subsequent figure, a square is subtracted.

Let's analyze the pattern:
- Figure 1: 4x6 (24 tiles)
- Figure 2: 3x6 (18 tiles)
- Figure 3: 2x6 (12 tiles)
- Figure 4: 1x6 (6 tiles)

Based on this pattern, we can see that each time a figure is subtracted, the number of tiles is decreasing by 6. This suggests that the expression for the number of tiles in the nth figure can be represented as:

Number of Tiles = (6 x 4) - (6 x (n - 1))

Let's construct a table to represent each pattern:
```
----------------------------------------
| Figure (n) | Process | Number of Tiles |
----------------------------------------
| 1 | 4x6 | 24 |
| 2 | 3x6 (subtract 1) | 18 |
| 3 | 2x6 (subtract 2) | 12 |
| 4 | 1x6 (subtract 3) | 6 |
----------------------------------------
```

This table shows the process and the number of tiles in each figure, demonstrating the decreasing pattern as described.

Sure! To create a table with a process column for each pattern and find the expression for the number of tiles in the nth figure, we can follow these steps:

1. Start by analyzing the given information. The picture is a 4x6 column of squares.

2. Determine the pattern for each figure by observing that each subsequent figure subtracts one square.

3. Create a table with three columns: Figure number (n), Process, and Number of tiles.

| Figure number (n) | Process | Number of tiles |
|-------------------|---------|----------------|
| 1 | 4x6 | 24 |
| 2 | 3x5 | 15 |
| 3 | 2x4 | 8 |
| 4 | 1x3 | 3 |
| 5 | 0x2 | 0 |

4. Write the expression for the number of tiles in the nth figure. Based on the pattern observed, the expression is:

Number of tiles = (5 - n) * (7 - n)

This expression considers that the number of tiles will decrease by 1 in both the width and height for each subsequent figure.

Therefore, the number of tiles in the nth figure can be found by evaluating the expression (5 - n) * (7 - n).