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# Big Foot Conspiracy

## Should people with small feet pay less for shoes?

Should people with small feet pay less for shoes? When you buy deli meat, the more you get, the more you pay. This isn’t the case with shoes, though. A pair of sneakers costs the same in size 6 as in size 12, even though it has less material.

In this lesson, students use unit rates to calculate how much different-sized shoes cost per ounce and debate the fairest way for manufacturers to charge for their shoes.

### REAL WORLD TAKEAWAYS

• While some products use fixed pricing (e.g. a t-shirt costs \$15), others use unit pricing (e.g. tomatoes cost \$4 per pound). Sometimes, it’s obvious which pricing system is appropriate; sometimes either might work, and the one we use is largely due to convention. We do it because it's the way we've always done it...but we could do it differently.
• When buying products with fixed pricing that come in different sizes, people buying smaller sizes will get less material for the same price as someone buying a bigger size. However, there are many other drivers of cost for the company selling the product.
• Pricing structures can affect human behavior, e.g. people might try to fit into smaller shoes if they were cheaper.

### MATH OBJECTIVES

• Calculate unit rate (\$/oz) for various sized shoes and discuss how the cost per ounces changes as size changes
• For a given cost per ounce, calculate how much different size shoes would cost if Nike charged by weight