Eric has $27.00 and wants to buy comic books. If each comic book costs $4.00, create a table and graph the arithmetic sequence to display how much money Eric has left after each comic book purchase. Which graph is an accurate representation of the problem?(1 point) Responses Image with alt text: Four points showing a decrease in money remaining with an increase in number of comic books are plotted on a coordinate plane. The y-axis is labeled money remaining. The x-axis is labeled number of comic books. Image with alt text: Four points showing a decrease in money remaining with an increase in number of comic books are plotted on a coordinate plane. The y-axis is labeled money remaining. The x-axis is labeled number of comic books. Image with alt text: Four points showing a decrease in number of comic books with an increase in money remaining are plotted on a coordinate plane. The y-axis is labeled number of comic books. The x-axis is labeled money remaining. Image with alt text: Four points showing a decrease in money remaining with an increase in number of comic books are plotted on a coordinate plane. The y-axis is labeled money remaining. The x-axis is labeled number of comic books. Skip to navigation

1 answer

To create a table that shows how much money Eric has left after buying comic books, we will use an arithmetic sequence to represent the decreasing amount of money remaining after each purchase.

Each comic book costs $4.00, and Eric starts with $27.00. We can calculate the remaining amount of money after each purchase:

| Number of Comic Books | Money Remaining ($) | |-----------------------|---------------------| | 0 | 27.00 | | 1 | 27.00 - 4.00 = 23.00| | 2 | 27.00 - 8.00 = 19.00| | 3 | 27.00 - 12.00 = 15.00| | 4 | 27.00 - 16.00 = 11.00| | 5 | 27.00 - 20.00 = 7.00 | | 6 | 27.00 - 24.00 = 3.00 | | 7 | 27.00 - 28.00 = -1.00| (not enough money for the 7th comic book)

Now we can plot this data on a graph where the x-axis represents the Number of Comic Books purchased, and the y-axis represents the Money Remaining.

  • The points to plot based on the table above are:
    • (0, 27)
    • (1, 23)
    • (2, 19)
    • (3, 15)
    • (4, 11)
    • (5, 7)
    • (6, 3)

Once we plot these points, we will see a downward trend, indicating that as the number of comic books increases, the amount of money remaining decreases.

Based on the descriptions provided for the images: The correct representation will show a decrease in money remaining (y-axis) with an increase in the number of comic books (x-axis).

The appropriate graph should reflect this relationship accurately with points sloping downwards from left to right.

If you want more assistance visualizing or analyzing the specific graphs you're considering, please provide additional information or descriptions about the graphs.