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!