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.
a) explain why the profit function has an inverse b) p(400)=900. rewrite this equation in terms of p^-1.
c) verify that p^-1(4470)=820 and describe what this equation means in this context.
d) find a rule for p^-1(x) and then verify the p^-1(p(450))=450