The Roots of the Equation

Here’s a topic that came up in conversation during Easter dinner tonight. I thought that there could be some interesting math involved, so I’ll present it Problem of the Week style, with no question or prompt.

At the S&S grocery store, there is also a gas station. If you buy $100 worth of groceries, you get $0.10 off of each gallon of gas. You can save those up – so, for example, if you eventually buy $300 worth of groceries, you’ll have $0.30 off each gallon.

Right now, gas costs $2.20 per gallon. You’re even allowed to bring gas cans to fill up when you buy, but the maximum is 35 gallons in a single purchase.

What do you notice? What do you wonder?