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Joaquin used the table to predict the cost of one year of education at a four-year public university.

\begin{tabular}{|c|c|}
\hline
Category & Predicted Cost \\
\hline
Tuition & \[tex]$9,450 \\
\hline
Room and board & \$[/tex]7,920 \\
\hline
Transportation & \[tex]$2,680 \\
\hline
Books and fees & \$[/tex]1,875 \\
\hline
Other & \[tex]$930 \\
\hline
\end{tabular}

He received a grant for \$[/tex]1,900. What is the minimum amount Joaquin will need to contribute to his education annually if he chooses to live at home?

A. \[tex]$13,035
B. \$[/tex]14,935
C. \[tex]$20,955
D. \$[/tex]22,855


Sagot :

To determine the minimum amount Joaquin will need to contribute to his education annually if he chooses to live at home, we need to follow these steps:

1. Calculate the total cost of education excluding room and board: Since Joaquin will be living at home, we do not factor in the cost for room and board.

The remaining costs are:
- Tuition
- Transportation
- Books and fees
- Other expenses

Adding these costs together:
- Tuition: \[tex]$9,450 - Transportation: \$[/tex]2,680
- Books and fees: \[tex]$1,875 - Other expenses: \$[/tex]930

The total cost excluding room and board is:
[tex]\[ 9,450 + 2,680 + 1,875 + 930 = 14,935 \][/tex]

2. Subtract the grant from the total cost: Joaquin received a grant of \[tex]$1,900. We subtract this amount from the total cost calculated earlier to find out the minimum amount he needs to contribute. \[ 14,935 - 1,900 = 13,035 \] Therefore, the minimum amount Joaquin will need to contribute annually if he lives at home is \$[/tex]13,035.

So the correct option is:

[tex]\[ \$13,035 \][/tex]
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