SOLUTION: In most businesses, increasing prices of their product can have a negative effect on the number of customers of the business. A bus company in a small town has an average number of

Question 26996: In most businesses, increasing prices of their product can have a negative effect on the number of customers of the business. 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.
Given the descriptions above, identify the graph of the function (line, parabola, hyperbola, or exponential), explain your choice, and give the domain and range of the function.

Answer by Paul(988) (Show Source): You can put this solution on YOUR website!
(800+2.25x)(0.25x-40)
200x+0.5625x^2-32000-90x
110x+0.5625x^2-32000
x=160

For every $0.25 decrease about 160 customers will come.
The graph is a parabola.
To find the domain and range. Start with -2 for x and solve for y
Go from -2 to 2.
Domain--RAnge
1. -2----3417.75

DO this upto 2 and as x aprroches a numerical value.
Domain is the independant or the x-value and the range is the dependant or the y-value.
PAul.
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