The Dayton Playhouse wants to make at least $6,300 on ticket sales this year. Currently, adults' tickets cost $58 and children's tickets cost $20. Select the inequality in standard form that describes this situation. Use the given numbers and the following variables. x= the number of adults' tickets sold y= the number of children's tickets soldChoices: (A) 58x+20y≥6,300(B) 20x+58y≥6,300(C) 58+x+20+y≥6,300(D) 20+x+58+y≥6,300
Q. The Dayton Playhouse wants to make at least $6,300 on ticket sales this year. Currently, adults' tickets cost $58 and children's tickets cost $20. Select the inequality in standard form that describes this situation. Use the given numbers and the following variables. x= the number of adults' tickets sold y= the number of children's tickets soldChoices: (A) 58x+20y≥6,300(B) 20x+58y≥6,300(C) 58+x+20+y≥6,300(D) 20+x+58+y≥6,300
Calculate adult ticket revenue: Determine the revenue from adult tickets. The Dayton Playhouse charges $58 per adult ticket, and the number of adult tickets sold is represented by x. Therefore, the revenue from adult tickets is 58x.
Calculate children's ticket revenue: Determine the revenue from children's tickets. The Dayton Playhouse charges $20 per children's ticket, and the number of children's tickets sold is represented by y. Therefore, the revenue from children's tickets is 20y.
Form revenue inequality: Combine the revenues to form an inequality. The Dayton Playhouse wants to make at least $6,300, which means the combined revenue from adult and children's tickets must be greater than or equal to $6,300. The inequality that represents this situation is 58x+20y≥6,300.
Match to correct choice: Match the inequality to the given choices. The correct inequality that we have derived is 58x+20y≥6,300, which corresponds to choice (A).
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