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Graphing Linear Equations Word Problems

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A bus company in a small town has an average number of riders of 800 per day. The bus company charges \$2.25 for a ride. They conducted a survey of their customers and found that they will lose approximately 40 customers per day for each \$.25 increase in fare.

2) If the number of riders are a function of the fare charged. Graph the function, identify the graph of the function (line, parabola, hyperbola, or exponential), and find the slope of the graph.

3) If the company determined that even if they set the price very low, there are a maximum number of riders permitted each day. If the price is \$0 (free), how many riders are permitted each day?

4) If the bus company sets the price too high, no one will be willing to ride the bus. Beginning at what ticket price will no one be willing to ride the bus?

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