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

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.

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.

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.

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 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.
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1 answer

To help Eric create a table and graph the amount of money he has left after each comic book purchase, let's start by calculating how much money Eric will have left after buying each comic book.

Each comic book costs $4.00, and Eric begins with $27.00. We can create a table that shows the number of comic books purchased and the corresponding money remaining.

Table of Money Remaining

| Number of Comic Books | Money Remaining ($) | |-----------------------|---------------------| | 0 | 27.00 | | 1 | 27.00 - 4.00 = 23.00| | 2 | 23.00 - 4.00 = 19.00| | 3 | 19.00 - 4.00 = 15.00| | 4 | 15.00 - 4.00 = 11.00| | 5 | 11.00 - 4.00 = 7.00 | | 6 | 7.00 - 4.00 = 3.00 | | 7 | 3.00 - 4.00 = -1.00 (not enough money) |

Now, let’s create a graph based on the data above.

  1. x-axis (horizontal) will represent Number of Comic Books (0, 1, 2, …, 6).
  2. y-axis (vertical) will represent Money Remaining ($).

The points that we would plot on the graph are:

  • (0, 27)
  • (1, 23)
  • (2, 19)
  • (3, 15)
  • (4, 11)
  • (5, 7)
  • (6, 3)

Description of Graph

The graph will show a downward slope, indicating a decrease in money remaining as the number of comic books purchased increases. Therefore, the correct graph representation of this problem will plot a decrease in money remaining with an increase in the number of comic books.

Correct Response

The accurate representation of the problem would be:

"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."

This accurately describes the relationship where as Eric buys more comic books, his remaining money decreases.

Please refer to your options and select the appropriate description that matches this analysis.