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A charitable organization in Lanberry is hosting a black tie benefit for charity, and the organization's members hope to bring in at least $1,600\$1,600. Standard tickets are available for $16\$16 each, whereas VIP tickets are offered for $70\$70 apiece.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of standard tickets\newliney=y = the number of VIP tickets\newlineChoices:\newline(A) 16x+70y≤1,60016x + 70y \leq 1,600\newline(B) 16x+70y≥1,60016x + 70y \geq 1,600\newline(C) 16+x+70+y≤1,60016 + x + 70 + y \leq 1,600\newline(D) 16+x+70+y≥1,60016 + x + 70 + y \geq 1,600

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Q. A charitable organization in Lanberry is hosting a black tie benefit for charity, and the organization's members hope to bring in at least $1,600\$1,600. Standard tickets are available for $16\$16 each, whereas VIP tickets are offered for $70\$70 apiece.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of standard tickets\newliney=y = the number of VIP tickets\newlineChoices:\newline(A) 16x+70y≤1,60016x + 70y \leq 1,600\newline(B) 16x+70y≥1,60016x + 70y \geq 1,600\newline(C) 16+x+70+y≤1,60016 + x + 70 + y \leq 1,600\newline(D) 16+x+70+y≥1,60016 + x + 70 + y \geq 1,600
  1. Define variables: Define the variables based on the information given. We are told that xx represents the number of standard tickets sold and yy represents the number of VIP tickets sold.
  2. Calculate standard revenue: Determine the revenue generated from selling standard tickets. Since standard tickets are sold for $16\$16 each, the total revenue from standard tickets is 16x16x.
  3. Calculate VIP revenue: Determine the revenue generated from selling VIP tickets. Since VIP tickets are sold for $70\$70 each, the total revenue from VIP tickets is 70y70y.
  4. Combine total revenue: Combine the revenues from both standard and VIP tickets to form an expression that represents the total revenue. This gives us 16x+70y16x + 70y.
  5. Set revenue inequality: Since the organization hopes to bring in at least $1,600\$1,600, the total revenue from ticket sales must be greater than or equal to $1,600\$1,600. This leads us to the inequality 16x+70y≥1,60016x + 70y \geq 1,600.
  6. Match with choices: Match the inequality from Step 55 with the given choices. The correct inequality that represents the situation is (B)16x+70y≥1,600(B)16x + 70y \geq 1,600.

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