Suppose daily operating profit, in dollars, for a movie theater is a function of the number of tickets sold with the rule P(x)=8.5x-2,500, for 0≤x≤1,000.

AExplain why the profit function has an inverse b) P(400)=900. Rewrite this equation in terms of P^-1.
CVerify that P^-1(4470)=820 and describe what this equation means in this context.
DFind a rule for P^-1(x) and then verify the P^-1(P(450))=450