ich \( \begin{array}{l}\text { 2. The cost of attending a private university is } \\ \$ 38,000 \text { for the first year. } \\ \text { - A student's uncle will pay half of this cost. } \\ \$ 10.000 \text {. }\end{array} \) Which amount is closest to the minimum that the student will need to save every month in order pay off the remaining cost at the end of 2 years? A. \( \$ 791.67 \) B. \( \$ 750.00 \) C. \( \$ 450.00 \) D. \( \$ 375.00 \)

To determine how much the student needs to save every month to cover the remaining cost of attending the university, we can follow these steps: 1. **Calculate the total cost for the first year**: \[ \text{Total cost} = \$38,000 \] 2. **Calculate how much the uncle will pay**: \[ \text{Uncle's contribution} = \frac{1}{2} \times \$38,000 = \$19,000 \] 3. **Calculate the remaining cost that the student needs to cover**: \[ \text{Remaining cost} = \text{Total cost} - \text{Uncle's contribution} = \$38,000 - \$19,000 = \$19,000 \] 4. **Determine the time frame for saving**: The student has 2 years to save, which is equivalent to: \[ 2 \text{ years} = 2 \times 12 \text{ months} = 24 \text{ months} \] 5. **Calculate the monthly savings needed**: To find out how much the student needs to save each month, we divide the remaining cost by the number of months: \[ \text{Monthly savings} = \frac{\text{Remaining cost}}{\text{Number of months}} = \frac{\$19,000}{24} \approx \$791.67 \] Thus, the amount closest to the minimum that the student will need to save every month is: **A. \( \$791.67 \)**