The problem states that there is an 8.5% tuition increase for next year, and the current tuition is $9,185. To find the tuition for the next year, we can use the following calculation:

$\text{New Tuition} = \text{Current Tuition} \times (1 + \frac{\text{Increase Percentage}}{100})$

Substituting the given values:

$\text{New Tuition} = 9185 \times (1 + \frac{8.5}{100})$

Let me calculate that for you.The tuition for next year will be $9,966 after the 8.5% increase.

Do you want more details or have any questions? Here are five related questions to further explore this topic:

1. What would the tuition be after a 10% increase?
2. How much is the total increase in dollar amount compared to the current tuition?
3. What percentage increase would lead to a tuition of $10,000?
4. How would the tuition change if the increase was only 5% instead of 8.5%?
5. What would the tuition be after a 15% increase over two years?

Tip: To calculate percentage increases quickly, always convert the percentage into a decimal by dividing by 100, then multiply it by the original value.