A theatre company finds that the daily revenue (in rupees) from selling x tickets is…
MATHEMATICS · Multi-part · AP · AP Precalculus · Polynomial and Rational Functions · Polynomial and Rational Functions
Problem
A theatre company finds that the daily revenue (in rupees) from selling x tickets is modelled by the polynomial function
R(x)=−5x3+150x2+200x.
Answer the following questions based on this model.
(i) State the degree of the polynomial R(x) and its leading coefficient.
(ii) Explain what the sign of the leading coefficient suggests about the behaviour of the revenue when very large numbers of tickets are offered for sale.
(iii) Find the y-intercept of the graph of R(x) and interpret its meaning in the given context.