Let's work through the problem step-by-step by matching each expression to its correct meaning:
1. Jess's bill amount without tip:
- The bill amount without the tip is simply the original dinner bill. This is denoted by [tex]\(B\)[/tex].
2. Jess's tip amount:
- The tip amount is given as 21% of the bill amount. To express this, we convert the percentage to a decimal and multiply by the bill amount [tex]\(B\)[/tex].
- [tex]\(21\% \text{ of } B = 0.21B\)[/tex].
3. Jess's total amount:
- The total amount she pays is the sum of the original bill and the tip amount.
- Since the original bill is [tex]\(B\)[/tex] and the tip is [tex]\(0.21B\)[/tex], the total amount is:
- [tex]\(B + 0.21B\)[/tex].
Using these definitions, we match the expressions to their correct locations in the table:
[tex]\[
\begin{tabular}{|c|l|l|}
\hline \begin{tabular}{c}$\text{Jess's bill amount}$ \\ $\text{without tip}$ \end{tabular} & $\text{Jess's tip amount}$ & $\text{Jess's total amount}$ \\
\hline $B$ & $0.21 B$ & $B + 0.21 B$ \\
\hline
\end{tabular}
\][/tex]
Therefore, the final matched expressions are:
- Jess's bill amount without tip: [tex]\(B\)[/tex]
- Jess's tip amount: [tex]\(0.21 B\)[/tex]
- Jess's total amount: [tex]\(B + 0.21 B\)[/tex]
