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
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Question 31142: 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 1,000 per day. The bus company charges $2.00 for a ride. They conducted a survey of their customers and found that they will lose approximately 50 customers per day for each $.25 increase in fare.
Identify the graph of the function, give the domain and range as shown in the graph you have drawn, and also the domain and range of the entire function excluding unrealistic values. Answer by venugopalramana(3286) (Show Source):
You can put this solution on YOUR website! graph type line
explanation if customers per day are y and rate is $ x ,then we are
given that y=1000 when x=2
for every 0.25 increase in x from $ 2 there is a loss of 50
customers ..that is a negative rate of 50/0.25=-200.
so eqn.is y=1000-200(x-2)..which is a linear eqn.representing a
straight line
points for plotting graph are
x 2...............7
y 1000............0
take a suitable scale of say 1 $ = 1 cm. or so on x axis and 200
customers = 1 cm. on y axis on a graph paper,
plot the above points and join them by a straight line.don't draw
the line below x=2 and above x=7.
domain 2 to 7…since customers cannot be negative and base price is
given as 2,mentioning only adverse effect
of increase and not decrease.
range 1000 to 0…since customers cannot be negative and base price is
given as 2,mentioning only adverse effect
of increase and not decrease.
