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A hockey team in Yardley has made it to the playoffs. In order to make a profit on the game, at least $19,000\$19,000 must be made in sales of lower-level tickets, which cost $74\$74, and luxury box seats, which cost $170\$170. Select the inequality in standard form that describes this situation. Use the given numbers and the following variables. x=x = the number of lower-level tickets sold y=y = the number of luxury box tickets sold\newlineChoices:\newline(A) 170x+74y>19,000170x + 74y > 19,000\newline(B) 74x+170y19,00074x + 170y \geq 19,000\newline(C) 170x+74y19,000170x + 74y \geq 19,000\newline(D) 74x+170y>19,00074x + 170y > 19,000

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Q. A hockey team in Yardley has made it to the playoffs. In order to make a profit on the game, at least $19,000\$19,000 must be made in sales of lower-level tickets, which cost $74\$74, and luxury box seats, which cost $170\$170. Select the inequality in standard form that describes this situation. Use the given numbers and the following variables. x=x = the number of lower-level tickets sold y=y = the number of luxury box tickets sold\newlineChoices:\newline(A) 170x+74y>19,000170x + 74y > 19,000\newline(B) 74x+170y19,00074x + 170y \geq 19,000\newline(C) 170x+74y19,000170x + 74y \geq 19,000\newline(D) 74x+170y>19,00074x + 170y > 19,000
  1. Calculate total sales: Calculate the total sales from lower-level tickets.\newlineTotal sales from lower-level tickets = Price per lower-level ticket ×\times Number of lower-level tickets sold\newline= $74×x\$74 \times x\newline= 74x74x
  2. Calculate luxury box sales: Calculate the total sales from luxury box tickets.\newlineTotal sales from luxury box tickets = Price per luxury box ticket ×\times Number of luxury box tickets sold\newline= $170×y\$170 \times y\newline= 170y170y
  3. Form inequality for total sales: Combine the total sales from both types of tickets to form an inequality.\newlineTotal sales = Sales from lower-level tickets + Sales from luxury box tickets\newline= 74x+170y74x + 170y\newlineThe team needs to make at least $19,000\$19,000, so the inequality is:\newline74x+170y19,00074x + 170y \geq 19,000

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