Your friends, Fernando and Amelia, each own a video game designer company. They both want you to join their company. You currently have a part-time job making $8.00 per hour. Fernando offers to pay you $15 per hour for the first month and then increase your hourly rate by $1.00 each month. Amelia says she will start your pay at $8.00 per hour but she will increase your hourly rate by 10% each month. In order to make the best decision, you decide to use the mathematics to choose the best offer based on the best hourly wage per month. Write the equations to represent Fernando’s job offer and Amelia’s job offer. Let x = number of months, y = hourly wage.

Under what time period would you accept Fernando’s offer? Use mathematics to support your reasoning.

Under what time period would you prefer Amelia’s offer? Use mathematics to support your reasoning.

Now that we have looked at the different figures for Fernando and Amelia, which job would you take for the long run? Use mathematics to justify your answer