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A professional baseball team sells regular tickets and premium tickets to all of its home games. At a recent game, the average price for a regular ticket was $52.46\$52.46, and the average price for a premium ticket was $175.85\$175.85. Which of the following equations shows a relationship where the number of regular tickets, rr, and the number of premium tickets, pp, that the team sells generates $5,000,000\$5,000,000 in ticket sales?\newlineChoose 11 answer:\newline(A) p52.46+r175.85=5,000,000\frac{p}{52.46} + \frac{r}{175.85} = 5,000,000\newline(B) r52.46+p175.85=5,000,000\frac{r}{52.46} + \frac{p}{175.85} = 5,000,000\newline(C) 52.46p+175.85r=5,000,00052.46p + 175.85r = 5,000,000\newline(D) 52.46r+175.85p=5,000,00052.46r + 175.85p = 5,000,000

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Q. A professional baseball team sells regular tickets and premium tickets to all of its home games. At a recent game, the average price for a regular ticket was $52.46\$52.46, and the average price for a premium ticket was $175.85\$175.85. Which of the following equations shows a relationship where the number of regular tickets, rr, and the number of premium tickets, pp, that the team sells generates $5,000,000\$5,000,000 in ticket sales?\newlineChoose 11 answer:\newline(A) p52.46+r175.85=5,000,000\frac{p}{52.46} + \frac{r}{175.85} = 5,000,000\newline(B) r52.46+p175.85=5,000,000\frac{r}{52.46} + \frac{p}{175.85} = 5,000,000\newline(C) 52.46p+175.85r=5,000,00052.46p + 175.85r = 5,000,000\newline(D) 52.46r+175.85p=5,000,00052.46r + 175.85p = 5,000,000
  1. Set up equation for total revenue: We need to set up an equation that represents the total revenue generated from selling rr regular tickets at $52.46\$52.46 each and pp premium tickets at $175.85\$175.85 each. The total revenue should equal $5,000,000\$5,000,000.
  2. Calculate revenue from regular tickets: The revenue from regular tickets can be represented as 52.46×r52.46 \times r, or 52.46r52.46r. The revenue from premium tickets can be represented as 175.85×p175.85 \times p, or 175.85p175.85p.
  3. Calculate revenue from premium tickets: Adding these two amounts together gives us the total revenue from ticket sales. So, the equation should be 52.46r+175.85p52.46r + 175.85p.
  4. Combine revenue amounts: We set this sum equal to \$\(5\),\(000\),\(000\) to represent the total ticket sales. The equation becomes \(52.46r + 175.85p = 5,000,000\).
  5. Set equation equal to total ticket sales: Now we compare the equation we've derived with the options given in the problem. The correct equation should match the format of the equation we've derived.
  6. Compare equation with options: Option (D) \(52.46r + 175.85p = 5,000,000\) matches the equation we've derived. Therefore, option (D) is the correct answer.

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