Option 1: A pizza restaurant offers circular pepperoni and green pepper pizzas in 3 sizes. The small pizza has diameter 10 inches and sells for $15.20. The medium pizza has diameter 12 inches and sells for $18.85. The large pizza has diameter 14 inches and sells for $22.70. What is the cost per square inch for each size pizza? Express your answer in cents to the nearest whole number.
Option 2: The box for the circular large pizza is a rectangular prism whose length and width are one-half inch greater than the diameter of the circular large pizza and whose height is 1 inch. What is the surface area in square inches of the outside of the box for the circular large pizza?
Option 3: One of the circular large pizzas is placed in the box for a large circular pizza. How many square inches greater is the area of the bottom of the box than the area of the circular large pizza? Express your answer to the nearest whole number.
Option 4: Mr. Reynolds says he will use less material to make a pizza box if he makes a rectangular pizza instead of a circular pizza. He plans to make a rectangular large pizza whose area is equivalent to the area of the circular large pizza in square inches to the nearest whole number. The sides of the rectangular large pizza will be of integer lengths and have the least possible perimeter. The length and width of the bottom and the top of the box will be one-half inch greater than the length and width of the pizza. The sides of the box will be 1 inch high. What is the surface area in square inches of the outside of the box for the rectangular large pizza?
What percent less material will Mr. Reynolds use to make a rectangular large pizza box if he changes from a circular large pizza to a rectangular large pizza of equal area? Express your answer to the nearest whole number.
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