Sure! Let's go through each element step by step.
Understanding Jess's payment:
1. Bill Amount Without Tip:
- This is simply the original cost of the dinner, denoted as [tex]\( B \)[/tex].
2. Tip Amount:
- Jess pays a tip which is calculated as [tex]\( 21\% \)[/tex] of the bill amount [tex]\( B \)[/tex]. The expression that represents [tex]\( 21\% \)[/tex] of [tex]\( B \)[/tex] is [tex]\( 0.21B \)[/tex].
3. Total Amount:
- The total amount Jess pays includes both the original bill and the tip. The expression for the total amount is [tex]\( B \)[/tex] (bill amount) plus [tex]\( 0.21B \)[/tex] (tip amount), which simplifies to [tex]\( B + 0.21B \)[/tex].
Now let’s match the given expressions to their correct meanings for Jess:
1. Jess's bill amount without tip:
- The expression for the bill amount without tip is [tex]\( B \)[/tex].
2. Jess's tip amount:
- The expression for the tip amount is [tex]\( 0.21B \)[/tex].
3. Jess's total amount:
- The expression for the total amount is [tex]\( B + 0.21B \)[/tex].
Filling in the Table:
[tex]\[
\begin{tabular}{|l|l|l|}
\hline
\text{Jess's bill amount} \newline \text{without tip} & \text{Jess's tip amount} & \text{Jess's total amount} \\
\hline
B & 0.21B & B + 0.21B \\
\hline
\end{tabular}
\][/tex]
Recap of Expressions:
- Jess's bill amount without tip: [tex]\( B \)[/tex]
- Jess's tip amount: [tex]\( 0.21B \)[/tex]
- Jess's total amount: [tex]\( B + 0.21B \)[/tex]
I hope this helps! Let me know if you have any questions or need further clarification.
