Solve the Problem $\$ 2.50$ Each for Each 25 Cent Increase in the Price, the of Hot

question 180

Multiple Choice

Solve the problem.
-The stadium vending company finds that sales of hot dogs average 45,000 hot dogs per game when the hot dogs sell for $\$ 2.50$ each. For each 25 cent increase in the price, the sales per game drop by 2000 hot dogs. Determine a function $R ( x )$ that models the total revenue per game, where $x$ is the number of $\$ 0.25$ increases in the price of a hot dog.

• A) \(R ( x ) = - 500 x ^ { 2 } + 6250 x + 112,500\)
• B) \(R ( x ) = 500 x ^ { 2 } + 6250 x - 112,500\)
• C) \(R ( x ) = - 500 x ^ { 2 } + 14,250 x + 112,500\)
• D) \(R ( x ) = - 500 x ^ { 2 } + 11,250 x + 112,500\)

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