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The Dayton Playhouse wants to make at least $6,300\$6,300 on ticket sales this year. Currently, adults' tickets cost $58\$58 and children's tickets cost $20\$20. \newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables. \newlinex=x = the number of adults' tickets sold \newliney=y = the number of children's tickets sold\newlineChoices: \newline(A) 58x+20y6,30058x + 20y \geq 6,300 \newline(B) 20x+58y6,30020x + 58y \geq 6,300 \newline(C) 58+x+20+y6,30058 + x + 20 + y \geq 6,300 \newline(D) 20+x+58+y6,30020 + x + 58 + y \geq 6,300

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Q. The Dayton Playhouse wants to make at least $6,300\$6,300 on ticket sales this year. Currently, adults' tickets cost $58\$58 and children's tickets cost $20\$20. \newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables. \newlinex=x = the number of adults' tickets sold \newliney=y = the number of children's tickets sold\newlineChoices: \newline(A) 58x+20y6,30058x + 20y \geq 6,300 \newline(B) 20x+58y6,30020x + 58y \geq 6,300 \newline(C) 58+x+20+y6,30058 + x + 20 + y \geq 6,300 \newline(D) 20+x+58+y6,30020 + x + 58 + y \geq 6,300
  1. Calculate adult ticket revenue: Determine the revenue from adult tickets. The Dayton Playhouse charges $58\$58 per adult ticket, and the number of adult tickets sold is represented by xx. Therefore, the revenue from adult tickets is 58x58x.
  2. Calculate children's ticket revenue: Determine the revenue from children's tickets. The Dayton Playhouse charges $20\$20 per children's ticket, and the number of children's tickets sold is represented by yy. Therefore, the revenue from children's tickets is 20y20y.
  3. Form revenue inequality: Combine the revenues to form an inequality. The Dayton Playhouse wants to make at least $6,300\$6,300, which means the combined revenue from adult and children's tickets must be greater than or equal to $6,300\$6,300. The inequality that represents this situation is 58x+20y6,30058x + 20y \geq 6,300.
  4. Match to correct choice: Match the inequality to the given choices. The correct inequality that we have derived is 58x+20y6,30058x + 20y \geq 6,300, which corresponds to choice (A)(A).

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