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 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.

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.

1 answer

To analyze Eric's comic book purchasing scenario, we will first calculate how much money he has left after each comic book purchase, then create a table for that data, and finally describe how the graph should look.

Calculation

Eric starts with $27.00 and each comic book costs $4.00. Here's how much money he has left after purchasing each quantity of comic books:

  1. 0 comic books: Money remaining = $27.00 - $0 = $27.00

  2. 1 comic book: Money remaining = $27.00 - $4.00 = $23.00

  3. 2 comic books: Money remaining = $27.00 - $8.00 = $19.00

  4. 3 comic books: Money remaining = $27.00 - $12.00 = $15.00

  5. 4 comic books: Money remaining = $27.00 - $16.00 = $11.00

Table of Values

| Number of Comic Books | Money Remaining | |-----------------------|-----------------| | 0 | $27.00 | | 1 | $23.00 | | 2 | $19.00 | | 3 | $15.00 | | 4 | $11.00 |

Graph Description

  • The x-axis represents the number of comic books purchased.
  • The y-axis represents the amount of money remaining.
  • As the number of comic books increases, the amount of money remaining decreases.

Choosing the Right Graph

Given the description, the accurate representation of the problem would consist of:

  • Four points showing a decrease in money remaining with an increase in the number of comic books plotted on a coordinate plane.
  • The y-axis labeled as "money remaining" and the x-axis labeled as "number of comic books."

Based on this explanation, the correct response corresponds to the first option provided in your question, as it describes the relationship appropriately.