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The orchestra in Morristown is putting on a benefit concert for the local children's hospital. Orchestra seating costs $96\$96 per ticket and balcony seating is $97\$97. The goal is to raise at least $9,000\$9,000 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\newlineChoices:\newline(A) 97x+96y9,00097x + 96y \geq 9,000\newline(B) 96x+97y9,00096x + 97y \geq 9,000\newline(C) 97x+96y9,00097x + 96y \leq 9,000\newline(D) 96x+97y9,00096x + 97y \leq 9,000

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Q. The orchestra in Morristown is putting on a benefit concert for the local children's hospital. Orchestra seating costs $96\$96 per ticket and balcony seating is $97\$97. The goal is to raise at least $9,000\$9,000 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\newlineChoices:\newline(A) 97x+96y9,00097x + 96y \geq 9,000\newline(B) 96x+97y9,00096x + 97y \geq 9,000\newline(C) 97x+96y9,00097x + 96y \leq 9,000\newline(D) 96x+97y9,00096x + 97y \leq 9,000
  1. Determine cost per ticket: Determine the cost per ticket for each type of seat. We are given that orchestra seating costs $96\$96 per ticket, which is represented by the variable xx. Therefore, the total revenue from orchestra seats is 96x96x.
  2. Calculate total revenue: Determine the cost per ticket for balcony seats. We are given that balcony seating costs $97\$97 per ticket, which is represented by the variable yy. Therefore, the total revenue from balcony seats is 97y97y.
  3. Combine revenue for total: 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 gives us 96x+97y96x + 97y.
  4. Formulate inequality for goal: Formulate the inequality based on the goal. The goal is to raise at least $9,000\$9,000, which means the total revenue from ticket sales should be greater than or equal to $9,000\$9,000. Therefore, the inequality that represents this situation is 96x+97y9,00096x + 97y \geq 9,000.

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