https://file.aiquickdraw.com/mathbot/file/1727197970930ndwc0ifd.jpg

I see that you've provided an image showing a table of values and a corresponding graph. Let's go through the solution step-by-step:

### Problem Overview:
Frederick starts with $6 in his account and deposits $2 per week. The table provides pairs of data showing the relationship between the number of weeks ($ x $) and the account balance ($ y $).

### Table:
\[
\begin{array}{|c|c|}
\hline
\text{Number of weeks} (x) & \text{Account balance in dollars} (y) \\
\hline
0 & 6 \\
1 & 8 \\
2 & 10 \\
3 & 12 \\
4 & 14 \\
\hline
\end{array}
\]

### How to Plot:
1. **X-axis (Number of weeks)**: Represent the number of weeks on the horizontal axis.
2. **Y-axis (Account balance)**: Represent the account balance in dollars on the vertical axis.

### Points to plot:
- $ (0, 6) $
- $ (1, 8) $
- $ (2, 10) $
- $ (3, 12) $
- $ (4, 14) $

### Steps to Plot:
1. Mark the first point at $ (0, 6) $, where Frederick starts with $6.
2. Plot the next point $ (1, 8) $, showing that after one week, his balance is $8.
3. Continue plotting each subsequent point as per the table: $ (2, 10) $, $ (3, 12) $, and $ (4, 14) $.

Once all points are plotted, they should form a straight line, as the relationship between weeks and account balance is linear (Frederick deposits the same amount each week).

Would you like me to help with more details on this graph or calculations?

---

Here are five related questions to think about:
1. What equation represents the linear relationship between the number of weeks and the account balance?
2. How much money will Frederick have in his account after 6 weeks?
3. If Frederick wanted to save $30, how many weeks would it take?
4. How would the graph change if Frederick started with $10 instead of $6?
5. What if Frederick deposited $3 per week instead of $2—how would that affect the graph?

**Tip**: Linear relationships have a constant rate of change. In this case, Frederick's account balance increases by a constant $2 per week.

Frederick starts with $6 in his account. He deposits $2 per week. Plot the pairs from the table to show the relationship between the number of weeks and the account balance in dollars.

Learn how to plot the relationship between the number of weeks and the account balance as Frederick deposits $2 per week. The graph shows a linear increase from an initial $6. Suitable for Grades 5-7.

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