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1. Weekly Allowance

In this task, you will analyze and compare two different plans for a weekly allowance.

Part A

Sarah receives an allowance of [tex]$\$[/tex] 10[tex]$ per week. She asks her parents to increase her allowance, and they give her a choice. In Plan A, Sarah's allowance increases by $[/tex]\[tex]$ 1$[/tex] per week for 10 weeks. In Plan B, Sarah's allowance increases by [tex]$\$[/tex] 0.10[tex]$ per week for 10 weeks. Complete the table. (20 points)

\begin{tabular}{|c|c|c|}
\hline
Week & Plan A & Plan B \\
\hline
0 & \$[/tex]10 & \[tex]$10 \\
\hline
1 & \$[/tex]11 & \[tex]$10.10 \\
\hline
2 & \$[/tex]12 & \[tex]$10.20 \\
\hline
3 & \$[/tex]13 & \[tex]$10.30 \\
\hline
4 & \$[/tex]14 & \[tex]$10.40 \\
\hline
5 & \$[/tex]15 & \[tex]$10.50 \\
\hline
6 & \$[/tex]16 & \[tex]$10.60 \\
\hline
7 & \$[/tex]17 & \[tex]$10.70 \\
\hline
8 & \$[/tex]18 & \[tex]$10.80 \\
\hline
9 & \$[/tex]19 & \[tex]$10.90 \\
\hline
10 & \$[/tex]20 & \$11.00 \\
\hline
\end{tabular}



Answer :

GinnyAnswer
Let's analyze and complete the table for Sarah's weekly allowance based on the two plans:

### Given Data:
- Initial Allowance: Sarah's initial allowance is \[tex]$10. - Plan A: Sarah's allowance increases by \$[/tex]1 each week.
- Plan B: Sarah's allowance increases by [tex]$0.10 (10 cents) each week. ### Completion of the Table: #### Plan A: - In Plan A, the allowance increases by \$[/tex]1 each week starting from \[tex]$10. - Week 0: \$[/tex]10
- Week 1: \[tex]$11 - Week 2: \$[/tex]12
- Week 3: \[tex]$13 - Week 4: \$[/tex]14
- Week 5: \[tex]$15 - Week 6: \$[/tex]16
- Week 7: \[tex]$17 - Week 8: \$[/tex]18
- Week 9: \[tex]$19 - Week 10: \$[/tex]20

#### Plan B:
- In Plan B, the allowance increases by \[tex]$0.10 each week starting from \$[/tex]10.
- Week 0: \[tex]$10.00 - Week 1: \$[/tex]10.10
- Week 2: \[tex]$10.20 - Week 3: \$[/tex]10.30
- Week 4: \[tex]$10.40 - Week 5: \$[/tex]10.50
- Week 6: \[tex]$10.60 - Week 7: \$[/tex]10.70
- Week 8: \[tex]$10.80 - Week 9: \$[/tex]10.90
- Week 10: \$11.00

### Completed Table:
[tex]\[ \begin{array}{|c|c|c|} \hline \text{Week} & \text{Plan A} & \text{Plan B} \\ \hline 0 & 10 & 10.00 \\ \hline 1 & 11 & 10.10 \\ \hline 2 & 12 & 10.20 \\ \hline 3 & 13 & 10.30 \\ \hline 4 & 14 & 10.40 \\ \hline 5 & 15 & 10.50 \\ \hline 6 & 16 & 10.60 \\ \hline 7 & 17 & 10.70 \\ \hline 8 & 18 & 10.80 \\ \hline 9 & 19 & 10.90 \\ \hline 10 & 20 & 11.00 \\ \hline \end{array} \][/tex]

Now you can see the complete and detailed weekly allowance for both Plan A and Plan B over the course of 10 weeks.