Producers for a Broadway musical notice that increasing ticket prices can generate
more revenue, but only up to a certain
point. The producers used surveys to
collect the data in the table below.
Expected Revenue
Ticket Price ($)
Х
20
50
80
R(x)
16,780
38,207
48,610
47,987
36,340
13,667
110
140
170
Which function can be used to relate the
ticket price, x, and the expected revenue,
R(x)?
A R(x) = -20.751x + 35569.886
B R(x) = -33512.122(0.999)*
C R(x) = -6.125x2 + 1142.999x -
3630.114
D R(x) = 16535.670 + 3927.3491n(x)