For future reference, if you need assistance that requires in-depth explanation, I would encourage you to make a tutoring appointment to make sure you can grasp the concepts. Here are my quick answers to your questions:

**Question 1: **You have a *piecewise function* which allows for different functions of *y* at different intervals of *x.* In this case, your top function (1/4)x^{2} + 1 includes the values for X __<__ 3, and this means when x =3 or when x is *less than* 3. So, it is your answer, **Choice A.**

**Question 2:** This is simply a matter of reading the question properly. You have **625** students to start with, all paying a **$400** course fee. This means *your top rows must have $400 in the first row of the first column, and 625 in the first row of the second column. *Immediately, you can eliminate options A and B.

Remember that if the *fee decreases by $20*, the student population *increases by 50*. This leaves only one option, **Choice D. **