Imagine you have a summer job at Bill’s Pizza Shack and acustomer asks your help

Question

Imagine you have a summer job at Bill’s Pizza Shack and acustomer asks your help deciding which is a better deal, the12” hand tossed pizza for $7.99 or the 16” hand tossedfor $11.99.

The dimensions given are the diameter of each pizza, and thethickness of the pizzas is the same. The customer claims that the$7.99 pizza is the better deal since both pizzas are cut into 8slices, so you would get the same amount of pizza for a cheaperprice.

a. Is the customer’s logic correct, why or whynot?

b. Calculate the dollar per square inch for each pizzaand state which one is the better deal (show all of your workand calculations).

Explanation / Answer

a.) The customer's logic is flawed. Imagine cutting a pizza thesize of a penny into 8 slices... would the customer say this givesyou the same amount of "pizza"? I'd certainly hope not."Slices" is not a measure of area orvolume. b.) 12" pizza: we use the formula Area = * r2, where r = diameter/2. So * 62= 36 square inches. 16" pizza area = * 82= 64 squareinches. Now: Dollars per square inch = (Price) / (Area ofpizza) 12" pizza: $7.99 / 36 ˜ .07 = 7cents per square inch 16" pizza: $11.99 / 64 ˜ .06 = 6cents per square inch Therefore the 16" pizza is a better deal.

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