Precalculus
posted by Gabriel on .
Suppose daily operating profit, in dollars, for a movie theater is a function of the number of tickets sold with the rule P(x)=8.5x2,500, 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

is x the tickets sold? Assuming yes...
a. given a profit, there is only one number of tickets that could have been sold.
b. P^1(900)=400
c. it means that 4470 of revenue translates to 820 tickets.
P(820)=8.5(820)2500=4470 check that.
d. I don't understand what the question wants.