Let's determine the total cost for each given number of cards.
1. For 5 cards:
Dakota will sell the first 5 cards for \[tex]$3. Since we're only buying 5 cards, the cost remains at \$[/tex]3.
Total Cost for 5 cards = \[tex]$3
2. For 6 cards:
The first 5 cards cost \$[/tex]3. For the 6th card, there is an additional cost of \[tex]$1.
Total Cost for 6 cards = \$[/tex]3 (for the first 5 cards) + \[tex]$1 (for the 6th card) = \$[/tex]4
3. For 7 cards:
The first 5 cards cost \[tex]$3. For the 6th and 7th cards, there are additional costs of \$[/tex]1 each.
Total Cost for 7 cards = \[tex]$3 (for the first 5 cards) + \$[/tex]1 (for the 6th card) + \[tex]$1 (for the 7th card) = \$[/tex]5
4. For 8 cards:
The first 5 cards cost \[tex]$3. For the 6th, 7th, and 8th cards, there are additional costs of \$[/tex]1 each.
Total Cost for 8 cards = \[tex]$3 (for the first 5 cards) + \$[/tex]1 (for the 6th card) + \[tex]$1 (for the 7th card) + \$[/tex]1 (for the 8th card) = \[tex]$6
Hence, the completed table looks like this:
\[
\begin{tabular}{|l|c|c|c|c|}
\hline
Number of Cards & 5 & 6 & 7 & 8 \\
\hline
Total Cost (\$[/tex]) & 3 & 4 & 5 & 6 \\
\hline
\end{tabular}
\]
