3. The Reel Good Cinema is conducting a mathematical study. In its theater, there are 200...

 

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3. The Reel Good Cinema is conducting a mathematical study. In its theater, there are 200 seats. Adult tickets cost $12.50 and child tickets cost $6.25. The cinema's goal is to sell at least $1500 worth of tickets for the theater. Write a system of linear inequalities that can be used to find the possible combinations of adult tickets, x, and child tickets, y, that would satisfy the cinema's goal. Graph the solution to this system of inequalities on the set of axes below. Label the solution with an S. Marta claims that selling 30 adult tickets and 80 child tickets will result in meeting the cinema's goal. Explain whether she is correct or incorrect, based on the graph drawn. y 250- 240- 230- 220- 210- 200- 190 180- 170- 160- 150- 140- 130- 120- 110- 100- 90- 80- 70- 60- 50- 40- 30- 20- 10- 0- 10 00 00 60 70 20 00 100 110 130 130 140 150 160 170 180 190 200 210 220 230: 3. The Reel Good Cinema is conducting a mathematical study. In its theater, there are 200 seats. Adult tickets cost $12.50 and child tickets cost $6.25. The cinema's goal is to sell at least $1500 worth of tickets for the theater. Write a system of linear inequalities that can be used to find the possible combinations of adult tickets, x, and child tickets, y, that would satisfy the cinema's goal. Graph the solution to this system of inequalities on the set of axes below. Label the solution with an S. Marta claims that selling 30 adult tickets and 80 child tickets will result in meeting the cinema's goal. Explain whether she is correct or incorrect, based on the graph drawn. y 250- 240- 230- 220- 210- 200- 190 180- 170- 160- 150- 140- 130- 120- 110- 100- 90- 80- 70- 60- 50- 40- 30- 20- 10- 0- 10 00 00 60 70 20 00 100 110 130 130 140 150 160 170 180 190 200 210 220 230: