Question

35) Attendance at Broadway plays from 1996 to 2000 can be modeled by JE-0.25x2 + 1.5x + 9.5 where r represents the number of years after 1996 and y represents the number of people who attended a Broadway play (in millions). Statistical Abstracts of the United States) le a) Approximately how many people saw a Broadway play in 1996? b) In what year did approximately 11.75 million people see a Broadway play? 36) The illuminance E (measure of the light emitted, in lux) of a light source is given by

Answer 1

y = -0.25 x^2 + 1.5 x + 9.5 where x: represents no. of years after 1996 No. of people who saw a broadway play in 1996 (Put x = 0) y = -0.25(0) + 1.5(0) + 9.5 y = 9.5 So approximately 9.5 million people saw play in1996. y = 11.75 million 11.75 = -0.25 x^2 + 1.5 x + 9.5 0.25 x^2 - 1.5 x + 2.25 = 0 solving above Quadratic eqn we will get x = 3 So in 1999 approximately 11.75 million people see a Broadway play.