Tim Horton’s is a Canadian fast-food chain, a sort of combination of Dunkin’ Donuts and McDonald’s in the United States.
I took this photo during a summer trip because I was interested in the pattern of servings and prices. I hope you will be, too. Here’s what I was thinking while standing in line . . .
1. Let’s ignore the price-ending-in-9-to-make-it seem-like-you’re-getting-a-good-deal nonsense and round up to the nearest dime to make it easier to think about. How much are hungry Canadians (and one old, fat American) paying per TimBit in the 10 pack, 20 pack, and 40 pack? This is called unit pricing.
2. There are a 10 pack, a 20 pack, and a 40 pack on the poster. Suppose Tim Horton’s offers the next two logical sizes in the pattern. How many TimBits will the next two packs hold?
3. Based on the two sizes you have created and the price pattern for the first three sizes, what would be the prices of the two larger packs you have created?
The BIG math philosophical question: If this pattern continues--the packs getting larger, the unit price getting smaller--how many TimBits would you get for free?
This seems like a line graph or bar chart might be helpful . . .
Problem of the Week: In-N-Out Burgers
In-N-Out Burger in the western United States ordinarily sells hamburgers, cheeseburgers, and Double-Doubles (two beef patties and two slices of cheese).
This In-N-Out Burger restaurant is located in Las Vegas, Nevada, where there was a NASA conference. Mr. Durden went in to order and noticed some interesting things about the menu . . .
1. Look at the difference between the cost of the hamburger and the cheeseburger: how much do they charge for a slice of cheese to be added to a hamburger to make it a cheeseburger?
2. Look at the difference between the cost of the cheeseburger and the Double-Double: how much do they charge for the extra beef patty and the extra cheese?
3. Given what you know about the price for the added cheese and added beef patty, how much would it cost for a Double (two hamburger patties on a bun with no cheese)?
(* please note: you can’t just double the menu price for the hamburger)
They also have a secret menu which includes a burger where you can order as many extra beef patties and cheese slices as you like. The most common orders are 3x3′s (Triple-Triples) and 4x4′s (read as “Four by Fours”) that contain three and four layers of beef and cheese, respectively.
However, some people have ordered 20×20′s (like the one above) for special occasions to share as a group and even 100×100’s! The only additions are extra layers of beef patties and cheese.
4. Now that the price patterns are figured out . . .
How much for a 3x3 (Triple-Triple)?
How much for a 20x20 (Twenty by Twenty)?
How much for a 100x100?
Extra Credit--Future Programmers!
In-N-Out just got new portable iPad cash registers: How would you write an equation so the cashier only has to enter the number of beef patties and cheese slices and the app calculates the price?
Extra Extra Credit--Tax Time! If we order a 100x100 for Mr. D.’s SPARK class party, and there is 7.5% sales tax, how much is the tax and how much is the total order?