The Acme Bus Company has a daily ridership of 18,000 passengers and charges $1.00 per ride. The company wants to raise the fare yet keep its revenue as large as possible. (The revenue is found by multiplying the number of passengers by the fare charged.) From previous fare increases, the company estimates that for each increase of $0.10 it will lose 1000 riders.
a. Complete this table.

b. Make a graph of the the revenue versus fare charged. You should recognize the graph as a parabola.
c. What are the coordinates of the vertex of the parabola? Explain the meaning of each coordinate of the vertex.
d. Find a quadratic function that models these data. Use your model to find
i. The revenue if the fare is $2.00.
ii. The fare(s) that make no revenue ($0).

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Fare (S) 1.00 1.10 1.20 1.301.40 1.501.60 1.70 1.80 Number of passengers 18000 Revenue (5) 18000