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The orchestra in Sparrowtown is putting on a benefit concert for the local children's hospital. Orchestra seating costs $70\$70 per ticket and balcony seating is $75\$75. The goal is to raise at least $7,400\$7,400 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) 70x \times 75y > 7,400\newline(B) 70x+75y≥7,40070x + 75y \geq 7,400\newline(C) 70x + 75y > 7,400\newline(D) 70x×75y≥7,40070x \times 75y \geq 7,400

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Q. The orchestra in Sparrowtown is putting on a benefit concert for the local children's hospital. Orchestra seating costs $70\$70 per ticket and balcony seating is $75\$75. The goal is to raise at least $7,400\$7,400 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) 70x×75y>7,40070x \times 75y > 7,400\newline(B) 70x+75y≥7,40070x + 75y \geq 7,400\newline(C) 70x+75y>7,40070x + 75y > 7,400\newline(D) 70x×75y≥7,40070x \times 75y \geq 7,400
  1. Calculate Orchestra Seat Revenue: Determine the revenue generated from selling one orchestra seat.\newlineRevenue from one orchestra seat = $70\$70\newlineNumber of orchestra seats sold = xx\newlineTotal revenue from orchestra seats = 70×x70 \times x\newline= 70x70x
  2. Calculate Balcony Seat Revenue: Determine the revenue generated from selling one balcony seat.\newlineRevenue from one balcony seat = $75\$75\newlineNumber of balcony seats sold = yy\newlineTotal revenue from balcony seats = 75×y75 \times y\newline= 75y75y
  3. Combine Total Revenue: Combine the revenue from orchestra and balcony seats to find the total revenue.\newlineTotal revenue from orchestra seats = 70x70x\newlineTotal revenue from balcony seats = 75y75y\newlineTotal revenue from all seats = 70x+75y70x + 75y
  4. Determine Fundraising Goal Inequality: Determine the inequality that represents the goal of raising at least $7,400\$7,400. The goal is to raise at least $7,400\$7,400, which means the total revenue must be greater than or equal to $7,400\$7,400. Inequality: 70x+75y≥7,40070x + 75y \geq 7,400

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