Congratulations! You have just landed your first job and your boss has told you that you can choose from one of 3 pay structures for the first month (30 days) that you work there.

Option 1 - You are paid $15/day

Option 2 - You are paid $2 the first day, then each day after that you are paid $2 more than you were paid the day before.

Option 3 - You are paid $1 the first day, then three times that amount on the second day ($3), then three times that amount the next day.

1. Which option would you choose? Defend your decision mathematically.
2. How much money would you have at the end of the 30 days if you choose each option?
3. Describe each option as linear, quadratic or exponential. Prove your description using finite differences.
4. State two reasons why "money isn't everything" when it comes to a job.