Discover new knowledge and insights with IDNLearn.com's extensive Q&A platform. Our experts are ready to provide prompt and detailed answers to any questions you may have.

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}


Sagot :

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.