The Situation: You are offered a 30-day trial period at your dream job. However, the owner of the company is a little unusual so the pay options are non-traditional. They offer you three different payment options for 30 days.

Option 1

Php 60,000 a day

Option 2

You make Php 1 the first day, Php 2 the second day, Php 4 the third day, Php 8 the fourth day etc.

Option 3

On your first day, you get Php 1. On your second day of work, you get Php 4. On your third day you get Php 9. On you fourth day of work you get Php 16. It continues this way for 30 days and then once you've completed the 30 days you receive a completion bonus of Php 500,000.

Questions to ponder:

1.Decide which payment option you would like to take (which earns you the most money?). In supporting your decision, you must use representations (table, graphs and equations) for each option and explain your decision. (Remember that this is about total pay after 30 days).

*Note: Use Desmos in graphing your function.

2.Your unusual boss decided to offer you a fourth option to even complicate your decision. Your payment would be described by the function P(x)=95,000x +200,000 with x representing days you work and P representing pesos you earn. Explain the meaning of the function based on this situation and then decide if you would take this option over the other three choices. Use a graph to support your decision.

3.You decide to work until you make Php 1.5 million in the shortest amount of time. Using the four different plans you have been offered, which option would you now choose? How does this affect the option you have chosen? Do you want to change your choice? Support your decision using at least two different representations. (Remember this is about total pay and you can use any of the four options).

4.You have now thought about four functions. Please use your experience from your previous math classes and this task to compare these functions. Use the following guide questions in formulating your thoughts:

4.1How are they similar? How are they different?

4.2Make sure you discuss the different ways they model growth, the different ways they can be represented and the key features of each function.