A pizza parlor has been experimenting with lowering the price of their large one-topping pizza to promote sales. The average revenues from the sale of large one-topping pizzas on a Friday night (5 P.M. to midnight) at various prices are given below. Revenue from the Sale of Pizzas at Different Prices Price Revenue (dollars x) (dollars R) 9.25 1202.50 10.50 1228.50 11.75 1210.25 13.00 1131.00 14.25 1054.50 (a) Find the function for the quadratic model that gives the average revenue in dollars where x is the price in dollars of a large one-topping pizza, with data from 9.25 x 14.25. (Round all numerical values to two decimal places.) R(x) = dollars (b) Calculate the rate of change of revenue at a price of $9.25 and at a price of $11.50. (Round your answers to the nearest cent.) $9.25 $ per dollar $11.50 $ per dollar (c) Use the model to calculate the change in revenue if the price is increased from $9.25 to $10.25 and from $11.50 to 12.50. (Round your answers to the nearest cent.) $9.25 to $10.25 $ $11.50 to $12.50 $ (d) Explain why the approximate change is an overestimate of the change in price from $9.25 to $10.25 but an underestimate of the change in price from $11.50 to $12.50.