Atheater manager is planning an upcoming concert. regular tickets will cost $12 and student tickets will cost $8. the theater can seat at most 200 people. the manager wants to collect at least $1000 from ticket sales. let x represent the number of regular tickets sold. let y represent the number of student tickets sold. which inequalities are among the constraints for this situation? select each correct answer. 1. x+y≥200 2. 12x+8y≤1000 3. 12x+8y≥1000 4. x+y≥1000 5.x+y≤200 6.12x+8y≤200

The answers are 12x+8y≥1000, 12x+8y≤1000, x+y≤200, and x+y≥200,

The explanation behind the first equation is 12x signifies the regular tickets, being at $12 each. And 8y signifies the student tickets being $8 each. The symbol is "≥", because the manager wants $1000 or more from the ticket sale. While the second equation, just the same with the first but the symbols differ since the sale could be lesser than 1000.

The explanation behind the third equation is 200 is the number of seats at most. In the fourth equation, if many people came, they would lack seats so that’s why the greater sign is used.

5050

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