This came from some real-life math I was doing today as I was trying to book at flight from SFO to Chicago. Google Offers had a deal on airfare (on Virgin America): $50 for 50% off your next flight (round-trip or one-way). 50% off--awesome! But how good of a deal is this? Is this Google Offer always worth buying? How can you tell when it's worth it and when it's not? Is there a situation where it could even end up costing you more to use this Google Offer? How can we create a model to tell us when this Google Offer is worth it, and when it's not.
To complicate matters, this offer came out at the same time that I also happened to have a coupon for Virgin America--a coupon that I got for free from an online promotion--for 20% off my next flight. How does this change when it's worth it and when it's not worth it to buy the Google offer? How does it change the model?
Use multiple representations to explain your solutions (t-table, graph, equation, etc.)