Question
Eric has $27.00 and wants to buy comic books. If each comic book costs $4.00, create a table and graph the arithmetic sequence to display how much money Eric has left after each comic book purchase. WhT WOULD THE GRAPH LOOK LIKE
Answers
GPT-4o mini
To analyze Eric's comic book purchasing scenario, we can create a table that tracks how much money he has left after buying a certain number of comic books.
### Table of Purchases:
| Number of Comic Books Purchased | Money Spent ($) | Money Left ($) |
|--------------------------------|------------------|----------------|
| 0 | 0 | 27.00 |
| 1 | 4 | 23.00 |
| 2 | 8 | 19.00 |
| 3 | 12 | 15.00 |
| 4 | 16 | 11.00 |
| 5 | 20 | 7.00 |
| 6 | 24 | 3.00 |
| 7 | 28 | -1.00 |
### Explanation of the Table:
- For each comic book purchased (from 0 to 7):
- The "Money Spent" column shows the total amount spent based on the price of $4.00 per comic book.
- The "Money Left" column shows the remaining balance after each purchase.
- Notice that after 6 comic books, Eric has $3.00 left. If he buys a 7th comic book, he would be over budget.
### Graph of Money Left:
To graph this information, you would plot the number of comic books purchased on the x-axis and the money left on the y-axis.
- **X-axis**: Number of Comic Books Purchased (0 to 7)
- **Y-axis**: Money Left ($)
### Points to Plot:
1. (0, 27)
2. (1, 23)
3. (2, 19)
4. (3, 15)
5. (4, 11)
6. (5, 7)
7. (6, 3)
8. (7, -1) — This point indicates that Eric cannot buy this comic book.
In a graph, you would start at $27 when 0 comic books are bought and see a linear downward trend with steep descent as he spends money. The slope of the line represents the decrease in money due to the purchase of comic books.
### Graph Visualization:
You would create a line graph that starts at point (0, 27) and moves diagonally downward due to the consistent price of comic books.
- The line would decrease until it reaches the point (6, 3). After that, it would drop below zero at (7, -1).
- The graph visually indicates that purchasing more than 6 comic books is not possible within his budget of $27.
If you were to draw it, it would look something like this:
```
Y-axis
|
27|*
| \
23| *
| \
19| *
| \
15| *
| \
11| *
| \
7| *
| \
3| *
|_____________X-axis
0 1 2 3 4 5 6 7
```
The line will go downwards sloping left to right, clearly exhibiting Eric’s diminishing funds as he buys comic books.
### Table of Purchases:
| Number of Comic Books Purchased | Money Spent ($) | Money Left ($) |
|--------------------------------|------------------|----------------|
| 0 | 0 | 27.00 |
| 1 | 4 | 23.00 |
| 2 | 8 | 19.00 |
| 3 | 12 | 15.00 |
| 4 | 16 | 11.00 |
| 5 | 20 | 7.00 |
| 6 | 24 | 3.00 |
| 7 | 28 | -1.00 |
### Explanation of the Table:
- For each comic book purchased (from 0 to 7):
- The "Money Spent" column shows the total amount spent based on the price of $4.00 per comic book.
- The "Money Left" column shows the remaining balance after each purchase.
- Notice that after 6 comic books, Eric has $3.00 left. If he buys a 7th comic book, he would be over budget.
### Graph of Money Left:
To graph this information, you would plot the number of comic books purchased on the x-axis and the money left on the y-axis.
- **X-axis**: Number of Comic Books Purchased (0 to 7)
- **Y-axis**: Money Left ($)
### Points to Plot:
1. (0, 27)
2. (1, 23)
3. (2, 19)
4. (3, 15)
5. (4, 11)
6. (5, 7)
7. (6, 3)
8. (7, -1) — This point indicates that Eric cannot buy this comic book.
In a graph, you would start at $27 when 0 comic books are bought and see a linear downward trend with steep descent as he spends money. The slope of the line represents the decrease in money due to the purchase of comic books.
### Graph Visualization:
You would create a line graph that starts at point (0, 27) and moves diagonally downward due to the consistent price of comic books.
- The line would decrease until it reaches the point (6, 3). After that, it would drop below zero at (7, -1).
- The graph visually indicates that purchasing more than 6 comic books is not possible within his budget of $27.
If you were to draw it, it would look something like this:
```
Y-axis
|
27|*
| \
23| *
| \
19| *
| \
15| *
| \
11| *
| \
7| *
| \
3| *
|_____________X-axis
0 1 2 3 4 5 6 7
```
The line will go downwards sloping left to right, clearly exhibiting Eric’s diminishing funds as he buys comic books.