To determine the minimum amount Catherine should expect to contribute to her education annually, let's follow these steps:
1. Identify the costs:
- Tuition: [tex]\( \$32,250 \)[/tex]
- Room and board: [tex]\( \$10,590 \)[/tex]
- Transportation: [tex]\( \$2,460 \)[/tex] (but not applicable as she will use the free bus system)
- Books and fees: [tex]\( \$1,980 \)[/tex]
- Other: [tex]\( \$750 \)[/tex]
2. Exclude the transportation cost:
Since Catherine will be using the free bus system, we do not need to include the transportation cost in her total predicted cost.
3. Calculate the total predicted cost:
Add up the costs excluding transportation:
[tex]\[
\text{Total predicted cost} = \$32,250 + \$10,590 + \$1,980 + \$750 = \$45,570
\][/tex]
4. Consider the grants:
Catherine predicts she will receive [tex]\( \$14,000 \)[/tex] in grants annually.
5. Determine the minimum contribution:
Subtract the grant amount from the total predicted cost:
[tex]\[
\text{Minimum contribution} = \$45,570 - \$14,000 = \$31,570
\][/tex]
So, the minimum amount Catherine should expect to contribute to her education annually is [tex]\( \$31,570 \)[/tex]. Thus, the correct answer is:
- [tex]\( \$31,570 \)[/tex]
