Analyze the following budget, with an income of [tex]$\$[/tex]750[tex]$, to determine how much can be spent on food for the month.

\begin{tabular}{|l|r|}
\hline
\textbf{Expense} & \textbf{Budgeted Amount} \\
\hline
Food & $[/tex]\[tex]$[/tex] \\
\hline
Personal Items & [tex]$\$[/tex]20[tex]$ \\
\hline
Cell Phone & $[/tex]\[tex]$75$[/tex] \\
\hline
Entertainment & [tex]$\$[/tex]85[tex]$ \\
\hline
Car Expenses - Gas, Insurance & $[/tex]\[tex]$260$[/tex] \\
\hline
College Savings & [tex]$\$[/tex]250[tex]$ \\
\hline
\end{tabular}

a. No more than $[/tex]\[tex]$70$[/tex] can be spent on food.
b. No more than [tex]$\$[/tex]75[tex]$ can be spent on food.
c. No more than $[/tex]\[tex]$80$[/tex] can be spent on food.
d. No more than [tex]$\$[/tex]60$ can be spent on food.



Answer :

To determine how much money can be spent on food for the month given the budget details and an income of \[tex]$750, we need to follow these steps: 1. Identify all expenses: - Personal Items: \$[/tex]20
- Cell Phone: \[tex]$75 - Entertainment: \$[/tex]85
- Car Expenses (Gas, Insurance): \[tex]$260 - College Savings: \$[/tex]250

2. Calculate the total of the expenses except for food:
- Total expenses excluding food = Personal Items + Cell Phone + Entertainment + Car Expenses + College Savings
- Total expenses excluding food = \[tex]$20 + \$[/tex]75 + \[tex]$85 + \$[/tex]260 + \[tex]$250 = \$[/tex]690

3. Subtract the total expenses from the income to find out the remaining amount which can be spent on food:
- Monthly income = \[tex]$750 - Amount left for food = Income - Total expenses excluding food - Amount left for food = \$[/tex]750 - \[tex]$690 = \$[/tex]60

Based on this calculation, the maximum amount that can be spent on food without exceeding the income is [tex]$\$[/tex]60[tex]$. Therefore, the correct answer is: d. No more than \$[/tex]60 can be spent on food.