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]