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
The answer is 4/15, because we have to get the denominaters to be the same, so the LCM of 5 and 15 is 15, so 15/5 is 3 and 4*3 is 12. Now, its 12/15-8/15 which is 4/15. Hope this helps!
