A Small Theater Has a Seating Capacity of 2000 $R ( x ) = 125 x ^ { 2 } + 3000 x , 16 \leq x \leq 20$

Multiple Choice

A small theater has a seating capacity of 2000.When the ticket price is $20, attendance is 1500.For each $1 decrease in price, attendance increases by 125.Write the revenue R of the theater as a function of ticket price x.

A) $R ( x ) = 125 x ^ { 2 } + 3000 x , 16 \leq x \leq 20$
B) $R ( x ) = - 125 x ^ { 2 } + 1000 x , 16 \leq x \leq 20$
C) $R ( x ) = - 125 x ^ { 3 } + 500 x , 16 \leq x \leq 20$
D) $R ( x ) = - 125 x ^ { 2 } - 350 x , 16 \leq x \leq 20$
E) $R ( x ) = - 125 x ^ { 2 } + 4000 x , 16 \leq x \leq 20$