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The orchestra in Springdale is putting on a benefit concert for the local children's hospital. Orchestra seating costs $43\$43 per ticket and balcony seating is $95\$95. The goal is to raise at least $6,100\$6,100 for the hospital.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of orchestra seats sold\newliney=y = the number of balcony seats sold\newline\newlineChoices:\newline(A) 95x+43y≥6,10095x + 43y \geq 6,100\newline(B) 95x+43y≤6,10095x + 43y \leq 6,100\newline(C) 43x+95y≤6,10043x + 95y \leq 6,100\newline(D) 43x+95y≥6,10043x + 95y \geq 6,100

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Q. The orchestra in Springdale is putting on a benefit concert for the local children's hospital. Orchestra seating costs $43\$43 per ticket and balcony seating is $95\$95. The goal is to raise at least $6,100\$6,100 for the hospital.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of orchestra seats sold\newliney=y = the number of balcony seats sold\newline\newlineChoices:\newline(A) 95x+43y≥6,10095x + 43y \geq 6,100\newline(B) 95x+43y≤6,10095x + 43y \leq 6,100\newline(C) 43x+95y≤6,10043x + 95y \leq 6,100\newline(D) 43x+95y≥6,10043x + 95y \geq 6,100
  1. Calculate orchestra seat revenue: Determine the cost per ticket for each type of seat. We are given that orchestra seating costs $43\$43 per ticket, which is represented by the variable xx. Therefore, the total revenue from orchestra seats is 43x43x.
  2. Calculate balcony seat revenue: Determine the cost per ticket for balcony seats. We are given that balcony seating costs $95\$95 per ticket, which is represented by the variable yy. Therefore, the total revenue from balcony seats is 95y95y.
  3. Combine total revenue: Combine the revenue from both types of seats to form an expression for the total revenue. The total revenue is the sum of the revenue from orchestra seats and balcony seats, which is 43x+95y43x + 95y.
  4. Set up inequality: Set up the inequality based on the goal of raising at least $6,100\$6,100. To raise at least $6,100\$6,100, the total revenue from ticket sales must be greater than or equal to $6,100\$6,100. Therefore, the inequality is 43x+95y≥6,10043x + 95y \geq 6,100.

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