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?