To determine the minimum amount Catherine should contribute to her education annually, let's break down the costs and grants she is expecting.
### Given Costs:
1. Tuition: \[tex]$32,250
2. Room and board: \$[/tex]10,590
3. Transportation: \[tex]$2,460
4. Books and fees: \$[/tex]1,980
5. Other: \[tex]$750
### Grant:
Catherine predicts she will receive \$[/tex]14,000 in grants annually.
### Important Consideration:
Since Catherine does not own a car and plans to live near campus, she will not need the transportation cost. Therefore, we can exclude the transportation cost from her total predicted costs.
#### Step-by-step Calculation:
1. Calculate the total cost without including transportation:
- Tuition: \[tex]$32,250
- Room and board: \$[/tex]10,590
- Books and fees: \[tex]$1,980
- Other: \$[/tex]750
Total cost without transportation:
[tex]\[
32,250 + 10,590 + 1,980 + 750 = 45,570
\][/tex]
2. Subtract the grants from the total cost without transportation:
- Total cost without transportation: \[tex]$45,570
- Grants: \$[/tex]14,000
Minimum contribution by Catherine:
[tex]\[
45,570 - 14,000 = 31,570
\][/tex]
Therefore, the minimum amount Catherine should expect to contribute annually is:
[tex]\[
\$31,570
\][/tex]
Given the options, the correct answer is:
[tex]\[
\$31,570
\][/tex]
