A Movie Theater Has Been Charging $10$ 00 Per Person and Selling About

A movie theater has been charging $ $10$ .00 per person and selling about $500$ tickets on a typical weeknight. After surveying their customers, the theater estimates that for every $ $0.5$ that they lower the price, the number of moviegoers will increase by $50$ per night. Find the demand function and calculate the consumer surplus when the tickets are priced at $ $8$ .