\begin{tabular}{|l|l|l|}
\hline
& \multicolumn{1}{|c|}{(Weeks Since 5 Years Ago)} & [tex]$y$[/tex] (Closing Price, in \$) \\
\hline
most recent & 260 & \\
\hline
7 days ago & 259 & \\
\hline
1 month ago & 256 & \\
\hline
6 months ago & 234 & \\
\hline
1 year ago & 208 & \\
\hline
3 years ago & 104 & \\
\hline
5 years ago & 0 & \\
\hline
\end{tabular}



Answer :

To understand the closing prices of a particular stock over different periods, let's analyze the given data step by step:

1. Most Recent Price:
- The most recent closing price is listed first.
- It accounts for the closing price of the stock at the initial point, which is the present time.
- Most Recent: [tex]\( \$260 \)[/tex]

2. Price 7 Days Ago:
- Typically, 7 days ago corresponds to one week prior.
- It shows the stock price from last week.
- 7 days ago: [tex]\( \$259 \)[/tex]

3. Price 1 Month Ago:
- Assuming a month consists of about 4 weeks, the price from roughly 4 weeks ago (about a month ago) is given.
- This tells us the stock price from approximately four weeks earlier.
- 1 month ago: [tex]\( \$256 \)[/tex]

4. Price 6 Months Ago:
- Six months, or half a year, ago provides the stock closing price from around 24 weeks prior.
- 6 months ago: [tex]\( \$234 \)[/tex]

5. Price 1 Year Ago:
- For stock prices a year ago, it considers 52 weeks ago.
- 1 year ago: [tex]\( \$208 \)[/tex]

6. Price 3 Years Ago:
- This data point refers to the closing price from 3 years back or 156 weeks ago.
- 3 years ago: [tex]\( \$104 \)[/tex]

7. Price 5 Years Ago:
- Finally, the closing price from 5 years ago, or 260 weeks ago, is given.
- 5 years ago: [tex]\( \$0 \)[/tex]

By examining these data points, we can see the movement of the stock price over different elapsed times. Here's a compiled summary in a tabular format:

| Time Period | Weeks Since 5 Years Ago | Closing Price (\$) |
|---------------------|-------------------------|--------------------|
| Most recent | 260 | 260 |
| 7 days ago | 259 | 259 |
| 1 month ago | 256 | 256 |
| 6 months ago | 234 | 234 |
| 1 year ago | 208 | 208 |
| 3 years ago | 104 | 104 |
| 5 years ago | 0 | 0 |

This data provides a clear view of the stock's progression over time, showing an overall upward trend in its price from 5 years ago to the present day.