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Predict how much money can be saved without having a negative actual net income.

\begin{tabular}{|l|r|r|}
\hline
\textbf{Monthly Budget} & \textbf{Budgeted Amount} & \textbf{Actual Amount} \\
\hline
Income & & \\
Wages & \[tex]$1025 & \$[/tex]675 \\
\hline
Expenses & & \\
Rent & \[tex]$300 & \$[/tex]300 \\
Utilities & \[tex]$100 & \$[/tex]100 \\
Food & \[tex]$175 & \$[/tex]200 \\
Cell Phone & \[tex]$75 & \$[/tex]75 \\
Savings & \[tex]$75 & \$[/tex] \\
\hline
Net Income & & \[tex]$ \\
\hline
\end{tabular}

a. It is not possible to save any money this month without having a negative actual net income.
b. \$[/tex]350 can be saved resulting in an actual net income of \[tex]$0.
c. \$[/tex]200 can be saved resulting in an actual net income of \[tex]$75.
d. Because there is a \$[/tex]75 budgeted net income, that \$75 can be put towards savings.


Sagot :

To determine how much money can be saved without having a negative actual net income, we must follow these steps:

1. Calculate the total actual expenses.
2. Subtract the total actual expenses from the actual income.
3. See how much can be saved without resulting in a negative net income.

### Step-by-Step Solution:

1. Calculate the Total Actual Expenses:

Actual expenses are:
- Rent: \[tex]$300 - Utilities: \$[/tex]100
- Food: \[tex]$200 - Cell Phone: \$[/tex]75

Total Actual Expenses:
[tex]\[ 300 + 100 + 200 + 75 = \$675 \][/tex]

2. Calculate the Actual Net Income Before Savings:

Actual Income (Wages):
[tex]\[ \$675 \][/tex]

Total Actual Expenses:
[tex]\[ \$675 \][/tex]

Net Income Before Savings:
[tex]\[ \$675 - \$675 = \$0 \][/tex]

3. Determine Savings Options:

To save money without resulting in a negative net income, we need to look at possible saving options and their effects:

- Option a: Save \[tex]$0 (no savings) - Option b: Save \$[/tex]350
- Option c: Save \[tex]$200 - Option d: Save \$[/tex]75

Let’s calculate the resulting net income for each of these saving options.

### Evaluation of Each Option:

- Option a: Save \[tex]$0 Net Income After Savings: \[ \$[/tex]0 - \[tex]$0 = \$[/tex]0
\]

- Option b: Save \[tex]$350 Net Income After Savings: \[ \$[/tex]0 - \[tex]$350 = -\$[/tex]350 \quad (\text{Negative})
\]
Not possible without a negative net income.

- Option c: Save \[tex]$200 Net Income After Savings: \[ \$[/tex]0 - \[tex]$200 = -\$[/tex]200 \quad (\text{Negative})
\]
Not possible without a negative net income.

- Option d: Save \[tex]$75 Net Income After Savings: \[ \$[/tex]0 - \[tex]$75 = -\$[/tex]75 \quad (\text{Negative})
\]
Not possible without a negative net income.

### Conclusion:

Given the calculations above, the only non-negative net income option is to save \$0.

The correct answer is:

a. It is not possible to save any money this month without having a negative actual net income.
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