Question

Aaliyah is a member of a book club and recives two books per month. Represent the relationship between the number of books she receives, y, after certain numbers of months, x. complete the table, label the x and y axis, and plot the x and y coordinates on the graph.

Answer 1

To represent Aaliyah’s book collection over time, we can create a table and a graph that illustrate the relationship between the number of months and the number of books received.

### Table

| Months (x) | Books Received (y) |
|------------|---------------------|
| 0 | 0 |
| 1 | 2 |
| 2 | 4 |
| 3 | 6 |
| 4 | 8 |
| 5 | 10 |
| 6 | 12 |

### Explanation:
- At 0 months, Aaliyah has received 0 books (the starting point).
- Each month, she receives 2 books, so we add 2 to the previous total.

### Graph

1. **Label the Axes**:
- **X-axis**: Label this axis as "Months (x)".
- **Y-axis**: Label this axis as "Books Received (y)".

2. **Plotting the Points**:
- (0, 0)
- (1, 2)
- (2, 4)
- (3, 6)
- (4, 8)
- (5, 10)
- (6, 12)

### Graph Coordinates
You can plot these points on a Cartesian plane:
- The x-axis will represent the number of months (0, 1, 2, 3, 4, 5, 6).
- The y-axis will represent the total number of books (0, 2, 4, 6, 8, 10, 12).

### Graph Representation
- You would see a straight line, starting at the origin (0,0) and sloping upwards with a consistent increase, reflecting the linear relationship: \( y = 2x \).

Feel free to use graph paper or graphing software to visualize the points!