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The orchestra in Rockport is putting on a benefit concert for the local children's hospital. Orchestra seating costs $29\$29 per ticket and balcony seating is $70\$70. The goal is to raise at least $9,300\$9,300 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) 29x+70y9,30029x + 70y \leq 9,300\newline(B) 29x+70y9,30029x + 70y \geq 9,300\newline(C) 70x+29y9,30070x + 29y \geq 9,300\newline(D) 70x+29y9,30070x + 29y \leq 9,300

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Q. The orchestra in Rockport is putting on a benefit concert for the local children's hospital. Orchestra seating costs $29\$29 per ticket and balcony seating is $70\$70. The goal is to raise at least $9,300\$9,300 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) 29x+70y9,30029x + 70y \leq 9,300\newline(B) 29x+70y9,30029x + 70y \geq 9,300\newline(C) 70x+29y9,30070x + 29y \geq 9,300\newline(D) 70x+29y9,30070x + 29y \leq 9,300
  1. Calculate Orchestra Seat Revenue: Determine the revenue generated from selling one orchestra seat.\newlineOrchestra seat ticket price: $29\$29\newlineNumber of orchestra seats sold: xx\newlineRevenue from orchestra seats: 29×x=29x29 \times x = 29x
  2. Calculate Balcony Seat Revenue: Determine the revenue generated from selling one balcony seat.\newlineBalcony seat ticket price: $70\$70\newlineNumber of balcony seats sold: yy\newlineRevenue from balcony seats: 70×y=70y70 \times y = 70y
  3. Calculate Total Revenue: Combine the revenue from orchestra and balcony seats to form an expression for total revenue.\newlineTotal revenue from orchestra and balcony seats: 29x+70y29x + 70y
  4. Determine Revenue Goal Inequality: Determine the inequality that represents the goal of raising at least $9,300\$9,300. The goal is to raise at least $9,300\$9,300, which means the total revenue must be greater than or equal to $9,300\$9,300. Inequality: 29x+70y9,30029x + 70y \geq 9,300

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