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The Lexington Playhouse wants to make at least $5,300\$5,300 on ticket sales this year. Currently, adults' tickets cost $49\$49 and children's tickets cost $17\$17.\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) 49+x+17+y≥5,30049 + x + 17 + y \geq 5,300\newline(B) 49x+17y≤5,30049x + 17y \leq 5,300\newline(C) 49+x+17+y≤5,30049 + x + 17 + y \leq 5,300\newline(D) 49x+17y≥5,30049x + 17y \geq 5,300

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Q. The Lexington Playhouse wants to make at least $5,300\$5,300 on ticket sales this year. Currently, adults' tickets cost $49\$49 and children's tickets cost $17\$17.\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) 49+x+17+y≥5,30049 + x + 17 + y \geq 5,300\newline(B) 49x+17y≤5,30049x + 17y \leq 5,300\newline(C) 49+x+17+y≤5,30049 + x + 17 + y \leq 5,300\newline(D) 49x+17y≥5,30049x + 17y \geq 5,300
  1. Calculate Adult Ticket Revenue: Determine the revenue from one adult's ticket.\newlineThe cost of one adult's ticket is $49\$49.\newlineIf xx represents the number of adults' tickets sold, then the total revenue from adults' tickets is $49\$49 times the number of tickets sold.\newlineCalculation: 49×x=49x49 \times x = 49x
  2. Calculate Child Ticket Revenue: Determine the revenue from one child's ticket. The cost of one child's ticket is $17\$17. If yy represents the number of children's tickets sold, then the total revenue from children's tickets is $17\$17 times the number of tickets sold. Calculation: 17×y=17y17 \times y = 17y
  3. Form Combined Revenue Inequality: Combine the revenue from adults' and children's tickets to form an inequality.\newlineThe Lexington Playhouse wants to make at least $5,300\$5,300, so the combined revenue from adults' and children's tickets must be greater than or equal to $5,300\$5,300.\newlineThe inequality that represents this situation is the sum of the revenue from adults' and children's tickets being greater than or equal to $5,300\$5,300.\newlineCalculation: 49x+17y≥5,30049x + 17y \geq 5,300

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