Problem:

Pizza Palace is investigating increasing the size of their large pizza.  The new, larger pizza will be called the “Pumped-Up Pizza”.  The original large pizza has a diameter of 15 inches and sells for $14.99.  The diameter of the new pizza will be doubled to 30 inches.  The owners plan to base the price of the Pumped-Up Pizza on the change in area from the original pizza to the new pizza.  If only this change in area is considered, how much should they charge for the Pumped-Up Pizza?

                       $14.99                                                                              

                  Original pizza                                            

                     Pumped-Up Pizza