To solve this problem, let's first understand the table provided. This table shows the total amount of money Nancy made from her lemonade stand over a period of 7 days. The table gives us the values [tex]\( p(d) \)[/tex] for days [tex]\( d \)[/tex] from 1 to 7.
Here's the table again for clarity:
[tex]\[
\begin{array}{|l|c|c|c|c|c|c|c|}
\hline
d & 1 & 2 & 3 & 4 & 5 & 6 & 7 \\
\hline
p(d) & 3 & 6 & 9 & 12 & 15 & 18 & 21 \\
\hline
\end{array}
\][/tex]
To find [tex]\( p(6) \)[/tex], we look at the table value corresponding to [tex]\( d = 6 \)[/tex].
From the table, we see:
[tex]\[ p(6) = 18 \][/tex]
Thus, [tex]\( p(6) \)[/tex] is 18.
Interpreting the meaning of [tex]\( p(6) \)[/tex] in this context:
- [tex]\( p(6) \)[/tex] represents the total amount of money Nancy made after 6 days of running her lemonade stand.
- According to the table, Nancy made a total of 18 dollars after 6 days.
Therefore, [tex]\( p(6) = 18 \)[/tex] means that after 6 days, Nancy's lemonade stand has earned a total of 18 dollars.
