Question

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

(1): 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.
The data points are as follows: left parenthesis 15 comma 3 right parenthesis, left parenthesis 19 comma 2 right parenthesis, left parenthesis 23 comma 1 right parenthesis, and left parenthesis 27 comma 0 right parenthesis. The vertical axis is labeled from 0 to 10 in increments of 1. The horizontal axis is labeled from 0 to 30 in increments of 2.

(2): 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.
The data points are as follows: left parenthesis 0 comma 13.5 right parenthesis, left parenthesis 1 comma 11.5 right parenthesis, left parenthesis 2 comma 9.5 right parenthesis, and left parenthesis 3 comma 7.5 right parenthesis. The vertical axis is labeled from 0 to 30 in increments of 2. The horizontal axis is labeled from 0 to 10 in increments of 1.

(3): 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.
The data points are as follows: left parenthesis 0 comma 27 right parenthesis, left parenthesis 1 comma 23 right parenthesis, left parenthesis 2 comma 19 right parenthesis, and left parenthesis 3 comma 15 right parenthesis. The vertical axis is labeled from 0 to 30 in increments of 2. The horizontal axis is labeled from 0 to 10 in increments of 1.

(4): 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.
The data points are as follows: left parenthesis 0 comma 27 right parenthesis, left parenthesis 1 comma 23 right parenthesis, left parenthesis 2 comma 19 right parenthesis, and left parenthesis 3 comma 15 right parenthesis. The vertical axis is labeled from 0 to 30 in increments of 2. The horizontal axis is labeled from 0 to 10 in increments of 1.

Answer 1

Correct choice: (4).

Table (number of comics, money remaining):
- 0 comics: $27
- 1 comic: $23
- 2 comics: $19
- 3 comics: $15
(Sequence: 27, 23, 19, 15, ...; general term: Money remaining = 27 − 4n, where n = number of comics.)

Option (4) plots the points (0,27), (1,23), (2,19), (3,15) with x = number of comic books and y = money remaining, so it accurately represents the situation.