math cool down movie thetre

Question

A movie theatre models the revenue from ticket sales in one day as a function of the ticket price, . Here are two expressions defining the same revenue function.

1. According to this model, how high would the ticket price have to be for the theater to make $0 in revenue? Explain your reasoning.
2. 
   
3.  The ticket price would have to be $30 to make no revenue.
4. 
   
5. What equation can you write to find out what ticket price(s) would allow the theater to make $600 in revenue?

Answer 1

3) is the answer to 1)

5) 600 = 120p - 4p² it's and irrational number