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Zolol [24]
3 years ago
5

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
Mathematics
1 answer:
AURORKA [14]3 years ago
8 0
A. given a profit, there is only one number of tickets that could have been sold. 

<span>b. P^-1(900)=400 </span>

<span>c. it means that 4470 of revenue translates to 820 tickets. </span>
<span>P(820)=8.5(820)-2500=4470

D. i was not able to answer as i dont understand the question

</span>
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