Homework Help: Precalculus

Posted by Gabriel on Sunday, February 10, 2013 at 9:43pm.

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

Precalculus - bobpursley, Sunday, February 10, 2013 at 9:57pm
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.

Answer this Question

Related Questions

Algebra - A movie theater manager wants to know how many adults and how many ...
math - 30% of the tickets sold by a movie theater for the Friday night show were...
precalculus algebra - Diane is a manager at a small movie theater. On Wednesday...
Economics - Suppose that a movie theater owner faces the demand curve given by P...
math - for an annual fee of $30 you can join a movie club that will allow you to...
Math - A movie theater recorded the number of tickets sold daily for a popular ...
Geometry - a movie theater sells tickets for $9.00 each. Senior citizens recieve...
pre cal - A movie theater seats 400 people. For any particular show, the amount ...
algebra - Tickets for a play at the community theater cost $4 for an adult and $...
Math - Need equation form for this number problem. Theater tickets are $8 for ...

For Further Reading

First Name:
School Subject:
Answer: