Hi I have not gotten any help please respond please help me very quickly

Question

1.) Which function should be used to when evaluating the function at x = 3?

A.)

B.)

2.) A computer training institute has 625 students paying $400 as the course fee. Their research shows that for every $20 reduction in their fee, they will attract another 50 students. Which table represents this situation?

A.) 

B.)

C.)

D.)

please please explain and solve please

Answer 1

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)x² + 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. 

Answer 2