Ten years from now, you are working as a sales manager for a telco company. You decide that you want to go back to school to get a second degree. You can either go to the City University or to the National College. City University costs P700 per credit plus a P1,500 one-time registration fee, while National College costs P950 per credit and has no registration fee. Assuming both colleges have a similar academic reputation, which is the better choice based on cost? Based on the problem; answer the following questions:
1. Show the computational steps necessary to find the cost of taking one 3-credit course at City University and repeat the process for one 4-credit course at the same school.
2. Suppose the total number of credits a student takes is represented by the variable n and the cost to attend City University is represented by the variable C. Write a formula that expresses the cost C in terms of the number of credits taken n.
3. Show the computational steps necessary to find the cost of taking one 3-credit course at National College and repeat the process for one 4-credit course at the same school.
4. If the cost to attend State College is represented by S, then write a formula that expresses the cost S in terms of the number of credits taken n.
5. Complete the table below that gives the total cost a student pays at each college, including registration fee, for taking any number from 3 to 12 credits during a semester. Graph the function.