To solve this problem, let's break it down into several steps:
1. Determine the total amount of savings needed:
- You already have [tex]$\$[/tex]900[tex]$ saved.
- Your target savings is $[/tex]\[tex]$4,500$[/tex].
- The additional savings needed is [tex]\( \$4,500 \)[/tex] (target savings) - [tex]\( \$900 \)[/tex] (current savings) = [tex]\( \$3,600 \)[/tex].
2. Determine the timeframe for saving:
- You plan to reach your goal in 12 months.
3. Calculate the current monthly savings:
- According to the table, the current monthly savings are [tex]$\$[/tex]100[tex]$.
4. Calculate the total savings needed per month:
- The total savings needed per month to reach the goal is \( \$[/tex]3,600 \) (additional savings needed) / 12 (months) = [tex]\( \$300 \)[/tex].
5. Determine the additional monthly savings required:
- Since you are already saving [tex]$\$[/tex]100[tex]$ per month, you need to find the additional savings required.
- The additional monthly savings would be \( \$[/tex]300 \) (total savings needed per month) - [tex]\( \$100 \)[/tex] (current monthly savings) = [tex]\( \$200 \)[/tex].
Thus, you would need to increase your monthly net savings by \[tex]$200 in order to meet your goal of saving \$[/tex]4,500 over the course of the next year. Therefore, the correct answer is:
[tex]\[
\$200
\][/tex]
