Let's solve this problem step-by-step by calculating Sue's potential expenses and determining whether she can afford to spend on the new TV:
1. Initial Balance:
Sue starts with an initial balance of \[tex]$899.83.
2. Total Expenses:
Sue makes six transactions. Let's sum up the costs of these transactions:
\[
\begin{aligned}
\text{Rent} & : \$[/tex]353.76 \\
\text{Video game} & : \[tex]$32.79 \\
\text{Bike maintenance} & : \$[/tex]60.26 \\
\text{Jacket} & : \[tex]$55.62 \\
\text{Rug} & : \$[/tex]80.40 \\
\text{Night out} & : \[tex]$35.77 \\
\end{aligned}
\]
Adding all these amounts:
\[
353.76 + 32.79 + 60.26 + 55.62 + 80.40 + 35.77 = 618.60
\]
Thus, the total expenses sum up to \$[/tex]618.60.
3. Remaining Balance After Expenses:
Subtract these total expenses from the initial balance to find out how much Sue has left before considering the TV purchase:
[tex]\[
899.83 - 618.60 = 281.23
\][/tex]
Sue has \[tex]$281.23 remaining after all her expenses.
4. Considering the TV Purchase:
Sue's share of the new TV is \$[/tex]305.22. Now we'll analyze her balance after purchasing the TV:
[tex]\[
281.23 - 305.22 = -23.99
\][/tex]
This results in a negative balance of [tex]\(-\$23.99\)[/tex].
5. Determining Affordability:
Since purchasing the TV will result in a negative balance, making that purchase will overdraw her account. Therefore, she cannot afford the TV without going into a deficit.
Based on the calculations, the best answer is:
c. No, making that purchase will overdraw her account.
