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Chapter 3a Review 1 1. The table below gives the average home game attendance A for the St. Louis Cardinals (in thousands) during the years 1995 – 2003. x A 1995 24.570 1996 32.774 1997 32.519 1998 39.453 1999 40.197 2000 41.191 2001 38.390 2002 37.182 2003 35.930 a) Let x = 0 stand for the year 1995. Use a graphing utility to find the quadratic function of best fit to the data. Round to the thousandths place. b) Use your answer in part a to predict the average home game attendance for the St. Louis Cardinals in 2004. 2. The Gapstow bridge in Central Park in New York City is in the shape of a parabolic arch. Its maximum height from the water line is 12ft and is 44 feet wide. What is the height of the arch 2 feet from the shoreline? 3. The marginal cost of a product can be thought of as the cost of producing one additional unit of output. For example, if the marginal cost of producing the 50 th product is $6.20, then it would cost $6.20 to increase production from 49 to 50 units of output. Callaway Golf Company has determined that the marginal cost C of manufacturing x Big Bertha golf clubs may be expressed by the quadratic function 𝐶(𝑥) = 4.9𝑥 2 − 617.4𝑥 + 19600 a) How many clubs should be manufactured to minimize the marginal cost? b) At this level of production, what is the marginal cost?